What is ((8^{-5})/(2^{-2)})^{-4} ?

The solution to ((8^{-5})/(2^{-2)})^{-4} is 2^{52}

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simplify ((8^{-5})/(2^{-2)})^{-4}

simplify

(\frac{8 ^{- 5}}{2 ^{- 2}})^{- 4}

2^{52}

Decimal Notation

4.5036 E 15

Solution steps

(\frac{8 ^{- 5}}{2 ^{- 2}})^{- 4}

Apply exponent rule:

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

(\frac{8 ^{- 5}}{2 ^{- 2}})^{- 4} = \frac{1}{( \frac{8 ^{- 5}}{2 ^{- 2}} ) ^{4}}

= \frac{1}{( \frac{8 ^{- 5}}{2 ^{- 2}} ) ^{4}}

(\frac{8 ^{- 5}}{2 ^{- 2}})^{4} = \frac{1}{2 ^{52}}

= \frac{1}{\frac{1}{2 ^{52}}}

\frac{1}{\frac{1}{2 ^{52}}} = 2^{52}

= 2^{52}

- \frac{13}{4} = \frac{3}{2} n + \frac{27}{8} n

- 12 x + 14 = - 34

3 lo g_{7} (4) + lo g_{7} (6)

\frac{1}{\frac{2}{1}}

- 14

What is ((8^{-5})/(2^{-2)})^{-4} ?
The solution to ((8^{-5})/(2^{-2)})^{-4} is 2^{52}