Question

Which is the simplified form of the expression (StartFraction (2 Superscript negative 3 Baseline) (x Superscript negative 3 Baseline) (y squared) Over (4 Superscript negative 2 Baseline) (x Superscript 4 Baseline) (y Superscript 6 Baseline) EndFraction) Squared? StartFraction 1 Over 4 x squared y Superscript 16 Baseline EndFraction StartFraction 4 Over x squared y Superscript 16 Baseline EndFraction StartFraction 1 Over 4 x Superscript 14 y Superscript 8 Baseline EndFraction StartFraction 4 Over x Superscript 14 Baseline y Superscript 8 Baseline EndFraction

Answer 1

D

Explanation:

Answer 2

Answer:
`(4)/(x^(14) y^(8))`

Explanation:

We have the following expression:

`((2^(-3) x^(-3) y^(2))/(4^(-2) x^(4) y^(6)))^(2)`

First, we have to solve what is inside the parenthesis, taking into account the addition and substraction of exponents with the same base:

`((4^(2) y^(2))/(2^(3)x^(4) x^(3) y^(6)))^(2)`

`((16)/(8 x^(7) y^(4) ))^(2)=((2)/(x^(7) y^(4) ))^(2)`

Finally:

`(4)/(x^(14) y^(8))`