Mathematics Middle School

Explain how the Quotient of Powers property was used to simplify this expression.

2 to the fifth power, over 8 = 22

By finding the quotient of the bases to be one fourth and cancelling common factors
By finding the quotient of the bases to be one fourth and simplifying the expression
By simplifying 8 to 23 to make both powers base two and subtracting the exponents
By simplifying 8 to 23 to make both powers base two and adding the exponents

Answers

Answer 1

We have been given the expression 2^5/8=2^2

8 can be rewritten as 2^3

Hence, the given expression becomes

2^5/2^3=2^2

After subtracting the exponents on left hand side of the equation we get:

2^2=2^2

we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.

Answer 2

Answer:

by simplifying 8 to 2^3 to make both powers base two and subtracting the exponents

Step-by-step explanation:

Related Questions

algebra 1 ty brainilest if correct

Answers

The fourth one is the correct answer.

105 = 4x
please your work like this :
m−9+9=11+9

m=20

Answers

Answer:

Answer:

26.25

Step-by-step explanation:

105 = 4x

4x = 105

x = 105/4

x = 26.25

Which are composite numbers?
Select all that are true.

49

35

32

41

47

Answers

Answer:

49 , 35 , 32

Step-by-step explanation:

are all composite numbers 41 and 47 are prime numbers

Answer:

49,35,32 :)

Step-by-step explanation:

7*7=49, 7*5=35, 8*4=32-composite, because it has many factors*7 and 7, 7 and 5, 8 and 4.

41*1=41,47*1=47-prime, because it has one factor *1 and 41, 1 and 47*

There are 144 students in 6th grade at Southside Middle School. On the last math test, 64 students received A’s. 48 students received B’s, and the remaining 32 students received C’s. What is the ratio of students who received A’s to the whole class?

Answers

64:144 because it’s just asking for A and 64 received A’s

Margo can purchase tile at a store for $0.89 per tile and rent a tile saw for $12. At another store she can borrow the tile saw for free if she buys tiles there for $1.19 per tile. How many tiles must she buy for the cost to be the same at both stores?

Answers

I think 90 tiles but I’m not sure

Answer:

yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no

Step-by-step explanation:

Plz answer both questions if works will give brainliest BTW start from the 1st one at the top

Answer 1:

Answer 2:

Answers

Answer 1: 8

Answer 2: C

Answer for question 1: Last table.

Step-by-step explanation: The answer is not the top 2 because the y-intercept is plus 5 not minus 5. Let us now look at the bottom two and calculate if the slope is equal to -2. (Second to last table) 13-9/4-2= 4/2=2. This does not equal -2. Let us look at the last one. 13-17/4-2= -4/2= -2. The last one is the correct answer because it has the y-intercept of 5 and the slope of -2.

Answer for question 2: 4

Explanation: The rate of change formula is y1-y2/x1-x2. Let us take 16-8/1-1/2. This is equal to 4 because 16-8 is 8 and 1-1/2 is 1/2. 8 divided by 1/2 is 4.

Simplify the expression so there is only one positive power for the base, -5
-5 power of 7 / -5 power of 2
A. 1/5 power of 9
B. -5 power of 3
C. -5 power of 5
D. 1/5 power of 5

Answers

Answer:

C. -5 power of 5

Step-by-step explanation:

-5 power of 7 / -5 power of 2

Soo, you subtract the exponent 7 by 2 and you are left with 5.

You are thus left with -5 to the power of 5.

Please mark as brainliest if it helped!:)

I really need help with this TvT

Answers

Answer:

1. Wind is the horizontal movement of air. All wind is caused by the uneven heating of Earth's surface, which sets convection currents in motion, Convection currents on a large scale cause global winds; convection currents on a small scale cause local winds.

2. Local winds blow between small low and high pressure systems. Local winds blow over a very limited area, while large scale winds blow over very unlimited area.

Step-by-step explanation:

Already given answer

PLZ HELp I NEED HELP IM STUP ID AND DONT GET IT?????

Answers

Ok 1/4 hour is 15 minutes. So 6:54 -2:15
4:39 pm is your start time

Answer:

4:39 PM

Step-by-step explanation:

Working with time can be tricky sometimes

This is what you know

Start time + elapsed time = end time

Using this equation we know that

start time + 2.25 hours= 6:54 pm

This is something that we can solve by subtracting 2.25 hours from each side, however, we first need to convert the .25 hours into minutes. We can do this by multiplying .25*60 which gets us 15. This means that 2 hours and 15 minutes has elapsed

So it's really just a question of 2 hours and 15 minutes - 6:54

This is pretty simple and you should get

4:39 PM

If the sales tax rate 6.5%, how much sales tax will you pay on a $480 item?

Answers

Answer:

Before Tax Price: $480.00

Sale Tax: 6.50% or $31.20

After Tax Price: $511.20

Step-by-step explanation:

Tax amount:31.20

I'm pretty sure it's
31.2

PLEASE HELP ASAP I suck at math :( will give brainiest. thx

Answers

Answer: Part A: 68 miles per hour

Part B: 204 divided by 68 equals 3. meaning he has 3 more hours of driving.

Step-by-step explanation:

What is the width of a rectangle that has an area of 96 square inches and a length of 12 inches?
Group of answer choices

The width is 8 inches.

The width is 12 inches.

The width is 10 inches.

Answers

8 because 8x12 is 96.

^^^^^^^^ is correct

PLS HELP I DONT KNOW WHAT THIS MOSTER IS PLS HELP I DONT KNOW WHAT IT IS SAYING SOLVE IT PLSSSSSSSSSS
Which expression represents a number that is one-fourth as great as 10-2?

Answers

Answer:

(10-2)÷4.

Step-by-step explanation:

We are to select the correct expression that represents a number that is one fourth as great as 10-2.

Let the required number be represented by x.

Then, according to the given information, we have

Thus, the required expression is (10-2)÷4.

Option (B) is CORRECT.

Answer:

Step-by-step explanation:

10-2=8

1/4 of 8 = 2

so, 1/4 great as 8 = 8+2 = 10

A new mattress at the Mattress Store cost $485. They are running a Holiday Day sale where I can save 30% off the original price. Tax in Indiana is 7%

1). How much money did I save from the discount?

2). How much money did I pay in tax ?

Answers

Answer:

1. You saved 145.5 dollars from the discount and for 2. and 23.765 or 23.7 dollars were spent on tax

Step-by-step explanation:

485 - 30% = 145.5
145.5+7%=155.68

What is the slope of the line shown on the grid?

Answers

Answer:

Where is it?

Step-by-step explanation:

Answer:

wheres the grid?

Step-by-step explanation:

please help WILL GIVE BRAINLIEST!

Answers

Answer:

13 ish

Step-by-step explanation:

x is botem

y is top

13 I’m the middle of eight

Which of the following examples best represents an object with balanced forces acting upon it?

a
A book sitting on a high shelf
b
A baseball is thrown in the air
c
A boat moving through water
d
A wagon rolling down a steep hill

Answers

Answer:

Δ:::::::::::::::Hello Person:::::::::::::::Δ∵Your answer should be:∵

A. a book sitting on a high shelf.

The book's force is pushing down while the shelf's force is pushing up against the book at an equal force helping it balance. The answer would be B.

Step-by-step explanation:

I hope this answered your question.

(Brainliest would be appreciated.)

Have a blessed day!

When a coefficient is side by side with a variable it means to _______

Example: 4z

Answers

Answer:

After simplifying, the first step in solving an equation with a variable on both sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable

Simply or solve for a variable

Veronica went to the local convenience store to buy bread, milk, dishwashing liquid, and paper towels. The table below shows the cost for each item, including tax. Veronica gave the cashier a $10.00 bill. The cashier handed her 3 quarters and 4 pennies in change. Veronica thought she should have received more change.

Local Convenience Store Prices
Item Price
Bread $2.19
Milk $2.49
Dishwashing Liquid $0.87
Paper Towel $1.47

Which mathematical explanation best supports Veronica's claim?
F.
The cashier did not scan the dishwashing liquid.
G.
The cashier scanned the bread twice.
H.
The cashier scanned the milk twice.
J.
The cashier handed out 4 pennies instead of 4 dimes.

Answers

Answer:

F.

Step-by-step:

She wanted bread ($2.19), milk ($2.49), dishwashing liquid($0.87), and paper towels($1.47).

$2.19
$2.49 $10.00 - $7.34 = $2.66
$0.89 - $0.79
+ $1.47 ————
————- $1.87
$7.34

WILL MARK BRAINLIEST What is the perimeter of the figure shown?

Answers

Answer:

Step-by-step explanation:

pls mark brainliest

Answer: 25

Step-by-step explanation:

add all sides together

A scale of a new building was created for approval by the city council. The scale of the model is 5 inches = 24 feet. If the model is 5 feet tall, how tall is the actual building

Answers

Answer:

288

Step-by-step explanation:

5 feet = 60 inches

60/5 = 12

12*24= 288

288

Step-by-step explanation:

This is because you you multiply 5 times 12 because there is 5 feet and 12 inches a foot. That =60 then 5 fits in 60 twelve times so that mean you multiply 12 by 24 because you multiply the inches by how tall the building actually is.

Drag each tile to the correct box.
Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.

Answers

Answer:

same order its in now

Step-by-step explanation:

can anyone help? (whoever is right gets marked brainiest

Answers

Answer:

144

Step-by-step explanation:

Answer:

area of trapezium is equal

A=a+b *h

69.6

area of the triangle is equal to L * B

12.4 *6

74.4

then area of whole figure = area of trapezium + area of rectangle

74.4 +69.6

144

Describe where these numbers are located on the number line: 1.5, -3, -212

Answers

Answer:

-212 , -3 , 0 , 1.5

Step-by-step explanation:

Thats my little numberline but if this helps the 1.5 goes to the right of the 0 and the -3 and -212 go left of the zero :)

Divide, write awswer in simplest form

2 and 7/9 divided by 2

Answers

Answer:

1.388

Step-by-step explanation:

2 7/9 / 2 =

7/9 = 0.777

2 7/9 = 2.777

2.777 / 2 = 1.388

how to calculate the measure of center with an example question
Calculate the measure of center for the data on the dot plot, rounding your answer to the nearest tenth place.
Box plot is below

Answers

Answer:

Step-by-step explanation:

can u HEEEEELP PLSssss

Answers

Answer:

13/4, 3 1/4, or 3.25

Step-by-step explanation:

Answer:

13/4 OR 3 1/4

Which of the following does NOT show an identity property?
Group of answer choices

3 − 0 = 3

5 ÷ 1 = 5

4 × 1 = 4

2 + 1 = 3

Answers

2+1= 3 that is not identity property

Answer:

5 / 1 =5

Step-by-step explanation:

I am going to ask 4 questions im sorry...

Answers

Answer:

4/5 divided by 1/2 = 6/5 = 1 1/5

11/5-7/5 is 4/5
4/5 divided by 1/2 is the same as
5/4 x 1/2
so it’s 5/8

plz help, it a question on a test due soon.
Look at the graph shown:

Which equation best represents the line?

y = 1 over 3. x − 1
y = 3x − 1
y = −x + 1 over 3.
y = 3x + 1

Answers

Answer:

y=3x+1

Step-by-step explanation:

The slope-intercept form is

, where

is the slope and

is the y-intercept.

Find the values of

and

using the form

The slope of the line is the value of

, and the y-intercept is the value of

Slope:

y-intercept:

The answer is y=1*-1

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