What is (((5^2)^{-2})/(15))^{-2} ?

The solution to (((5^2)^{-2})/(15))^{-2} is 87890625

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simplify (((5^2)^{-2})/(15))^{-2}

simplify

(\frac{( 5 ^{2} ) ^{- 2}}{15})^{- 2}

87890625

Solution steps

(\frac{( 5 ^{2} ) ^{- 2}}{15})^{- 2}

Apply exponent rule:

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

= \frac{1}{( \frac{( 5 ^{2} ) ^{- 2}}{15} ) ^{2}}

(\frac{( 5 ^{2} ) ^{- 2}}{15})^{2} = \frac{1}{5 ^{10} \cdot 3 ^{2}}

= \frac{1}{\frac{1}{5 ^{10} \cdot 3 ^{2}}}

Apply the fraction rule:

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

= \frac{5 ^{10} \cdot 3 ^{2}}{1}

Apply rule

\frac{a}{1} = a

= 5^{10} \cdot 3^{2}

5^{10} = 9765625

= 3^{2} \cdot 9765625

3^{2} = 9

= 9765625 \cdot 9

Multiply the numbers:

9765625 \cdot 9 = 87890625

= 87890625

(- 0.5)^{3} \cdot (- 2)^{3}

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e^{3} \cdot e^{6}

e^{- \frac{1}{2} l n (t^{2} - 1)}

e^{- 1. 6^{2}}

What is (((5^2)^{-2})/(15))^{-2} ?
The solution to (((5^2)^{-2})/(15))^{-2} is 87890625