What is (x^{-4})/((12y^2)^{-2)} ?

The solution to (x^{-4})/((12y^2)^{-2)} is (144y^4)/(x^4)

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simplify (x^{-4})/((12y^2)^{-2)}

simplify

\frac{x ^{- 4}}{( 12 y ^{2} ) ^{- 2}}

\frac{144 y ^{4}}{x ^{4}}

Solution steps

\frac{x ^{- 4}}{( 12 y ^{2} ) ^{- 2}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

x^{- 4} = \frac{1}{x ^{4}}

= \frac{\frac{1}{x ^{4}}}{( 12 y ^{2} ) ^{- 2}}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{1}{x ^{4} ( 12 y ^{2} ) ^{- 2}}

Simplify

x^{4} (12 y^{2})^{- 2} : \frac{x ^{4}}{144 y ^{4}}

= \frac{1}{\frac{x ^{4}}{144 y ^{4}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{144 y ^{4}}{x ^{4}}

25 p^{2} = 10 p - 1

x^{2} = - x^{2} + 4 x

10 \leq 8 - 2 x \leq 18

x^{2} + 5 x - 5 = 0

1.76 = \frac{x - 693366}{693366} \cdot 100

What is (x^{-4})/((12y^2)^{-2)} ?
The solution to (x^{-4})/((12y^2)^{-2)} is (144y^4)/(x^4)