Mathematics: 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

Which is the simplified form of the expression (startfraction

vannaht2003

16.01.2022

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

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:

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

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taliyahfelin

16.01.2022

D) 4/x^14 y^8

I just took the quiz on edge

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bbh22

05.07.2020

um... 4cm

Step-by-step explanation:

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