What is [((2/5)^3)/((2/5)^{-3)}]^{-5} ?

The solution to [((2/5)^3)/((2/5)^{-3)}]^{-5} is (5^{30})/(1073741824)

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simplify [((2/5)^3)/((2/5)^{-3)}]^{-5}

simplify

[\frac{( \frac{2}{5} ) ^{3}}{( \frac{2}{5} ) ^{- 3}}]^{- 5}

\frac{5 ^{30}}{1073741824}

Decimal Notation

867361737988.4036

Solution steps

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

Apply exponent rule:

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

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

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

(\frac{( \frac{2}{5} ) ^{3}}{( \frac{2}{5} ) ^{- 3}})^{5} = \frac{1073741824}{5 ^{30}}

= \frac{1}{\frac{1073741824}{5 ^{30}}}

Apply the fraction rule:

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

= \frac{5 ^{30}}{1073741824}

e^{3} \cdot e^{5}

(x - y - z)^{2} (x + y)^{2}

1.2 \cdot 1 0^{- 8}

What is [((2/5)^3)/((2/5)^{-3)}]^{-5} ?
The solution to [((2/5)^3)/((2/5)^{-3)}]^{-5} is (5^{30})/(1073741824)