What is [[(4/5)^2]^3]^{-1} ?

The solution to [[(4/5)^2]^3]^{-1} is 15625/4096

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simplify [[(4/5)^2]^3]^{-1}

simplify

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

\frac{15625}{4096}

Decimal Notation

3.81469 \dots

Solution steps

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

[(\frac{4}{5})^{2}]^{3} : (\frac{4}{5})^{6}

= [(\frac{4}{5})^{6}]^{- 1}

Apply exponent rule:

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

= \frac{1}{( \frac{4}{5} ) ^{6}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{4}{5})^{6} = \frac{4 ^{6}}{5 ^{6}}

= \frac{1}{\frac{4 ^{6}}{5 ^{6}}}

Apply the fraction rule:

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

= \frac{5 ^{6}}{4 ^{6}}

5^{6} = 15625

= \frac{15625}{4 ^{6}}

4^{6} = 4096

= \frac{15625}{4096}

e^{- x} \cdot (- e^{x})

- 2 - t^{2} - t + c

3 a

e^{- 2 l n (x^{2} + 1)}

x \cdot 1 + \frac{1}{x}