How do I simplify Rational Exponents and Radicals?
I was absent yesterday and we completely moved onto a brand new subject. I don't quite understand, this isn't asking me to solve it, It's asking me to simplify it. help??

Some of the problems I don't understand:
4x⁻⁴y⁴
-2x⁴y⁻¹

Answers

Answer 1

Rational exponents and radicals are simplified in a similar way to how other exponents and radicals are simplified.

For the first expression 4x⁻⁴y⁴, you can simplify it by noticing that it has a negative exponent on the x term and a positive exponent on the y term. To simplify, you can keep the base (x and y) and the exponent (4 and -4) but you change the negative exponent to a fraction and change the sign:

4x⁻⁴y⁴ = (x^-4) (y^4) = x^-4y^4

For the second expression -2x⁴y⁻¹, you can simplify it by noticing that it has a negative exponent on the y term. To simplify, you can keep the base (x and y) and the exponent (4 and -1) but you change the negative exponent to a fraction and change the sign:

-2x⁴y⁻¹ = -2 (x^4) (y^-1) = -2x^4y^-1

To simplify these expressions further, you would need to know the specific values of x and y. But these are the steps to simplify a rational exponent or radical to its simplest form.

It's also worth mentioning that if you have a fractional exponent you can simplify it by raising the base to the numerator of the exponent and the denominator of the exponent. For example, x^(3/4) = (x^3)^(1/4) = ∛x

Keep in mind that when you simplify rational exponents or radicals, you should always keep the base and the exponent, and only change the sign of the exponent if it is negative.


Related Questions

So I kinda need some more help that would be appreciated

Answers

Answer:

75 percent of a positive number is greater greater than 50 percent of a positive number. and the second one is 75percent of a negative number is less than 50percent of a negative number

Answer:

Step-by-step explanation:

75% of 100> 50% of 100

75% of 1< 50% of 100

Can you solve this for me? Thank you! :>

Answers

Answer:

B

Step-by-step explanation:

< just means more of and since it says more than 250 the answer would have to be something grater than 250

Hope this helps!

C. The number of people who attended the funeral was fewer than 250

X or the number of people < (less than) 250

Please answer it brainless

Answers

Answer:

[tex]y=\frac{1}{2}x+1[/tex]

Step-by-step explanation:

We have the one tablet taken to start so that is where the +1 comes from.

We also have the 1/2 tablet taken each month after that so it is 1/2 times the number of months x.

y= 1/2x + 1>>>>>>>>>>
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