What is ((12^{-4})/(3^2))^2(5/2)^{-2} ?

The solution to ((12^{-4})/(3^2))^2(5/2)^{-2} is 1/217678233600

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simplify ((12^{-4})/(3^2))^2(5/2)^{-2}

simplify

(\frac{1 2 ^{- 4}}{3 ^{2}})^{2} (\frac{5}{2})^{- 2}

\frac{1}{217678233600}

Solution steps

(\frac{1 2 ^{- 4}}{3 ^{2}})^{2} (\frac{5}{2})^{- 2}

(\frac{1 2 ^{- 4}}{3 ^{2}})^{2} = \frac{1}{34828517376}

= \frac{1}{34828517376} (\frac{5}{2})^{- 2}

Apply exponent rule:

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

(\frac{5}{2})^{- 2} = \frac{1}{( \frac{5}{2} ) ^{2}}

= \frac{1}{34828517376} \cdot \frac{1}{( \frac{5}{2} ) ^{2}}

(\frac{5}{2})^{2} = \frac{25}{4}

= \frac{1}{34828517376} \cdot \frac{1}{\frac{25}{4}}

Apply the fraction rule:

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

= \frac{1}{34828517376} \cdot \frac{4}{25}

\frac{1}{34828517376} \cdot \frac{4}{25} = \frac{1}{217678233600}

= \frac{1}{217678233600}

(- a^{3} b)^{4}

2 \cdot 23

lo g_{a} (\frac{( - 2 a b ^{2} ) ^{- 3}}{a ^{2} b ^{- 4}})

4 x - 3 = 5

\frac{x + 38}{x + 6} < 5

What is ((12^{-4})/(3^2))^2(5/2)^{-2} ?
The solution to ((12^{-4})/(3^2))^2(5/2)^{-2} is 1/217678233600