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) 4/x^14 y^8

I just took the quiz on edge

Answer 2

Answer: $\frac{4}{x^{14} y^{8}}$

Step-by-step explanation:

We have the following expression:

$(\frac{2^{-3} x^{-3} y^{2}}{4^{-2} x^{4} y^{6}})^{2}$

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

$(\frac{4^{2} y^{2}}{2^{3}x^{4} x^{3} y^{6}})^{2}$

$(\frac{16}{8 x^{7} y^{4} })^{2}=(\frac{2}{x^{7} y^{4} })^{2}$

Finally:

$\frac{4}{x^{14} y^{8}}$