Question

Choose the correct simplification of (9x3y2)2. 18x5y4 81x5y4 18x6y4 81x6y4

Answer 1

`81x^(6) y^(4)`

Explanation:

The given expression is

`(9x^(3) y^(2))^(2)`

To simplify this expression, we need to use a power property about the power of a power, when this happens, we need to multiply exponents in the case of variables, and the number we elevated to the square power, so

We know that

`9^(2) =81\\(x^(3))^(2) =x^(6)\\(y^(2))^(2) =y^(4)`

Then, we replace each equivalence in the given expression

`(9x^(3) y^(2))^(2)=81x^(6) y^(4)`

Therefore, the right answer is the last choice
`81x^(6) y^(4)`