Question

PLease see attached. This is an algebra question

Answer 1

The solution for the given expression is 16.

Power Rules

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

First, you apply the Power Rules - Power for  $(\frac{2^2x^2y}{xy^3} )^2}$. For this rule, you should repeat the base and multiply the exponents. Thus, the result will be:$\frac{16x^4y^2}{x^2y^6}$.

After that, you should apply the  Power Rules - Division . For this rule, you should repeat the base and  subctract the exponents. Thus, the result will be:$\frac{16x^2}{y^4}$.

Now, you should replace the variable x by 4 and the variable y by 2. Thus, the result will be:$\frac{16*4^2}{2^4}=\frac{16*16}{16} =16*1=16$

Read more about power rules here:

brainly.com/question/12140519

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