What is (((4^1)^{-1})/(16^2))^{-6} ?

The solution to (((4^1)^{-1})/(16^2))^{-6} is 2^{60}

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simplify (((4^1)^{-1})/(16^2))^{-6}

simplify

(\frac{( 4 ^{1} ) ^{- 1}}{1 6 ^{2}})^{- 6}

2^{60}

Solution steps

(\frac{( 4 ^{1} ) ^{- 1}}{1 6 ^{2}})^{- 6}

Apply exponent rule:

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

= \frac{1}{( \frac{( 4 ^{1} ) ^{- 1}}{1 6 ^{2}} ) ^{6}}

Apply rule

a^{1} = a

4^{1} = 4

= \frac{1}{( \frac{4 ^{- 1}}{1 6 ^{2}} ) ^{6}}

(\frac{4 ^{- 1}}{1 6 ^{2}})^{6} = \frac{1}{2 ^{60}}

= \frac{1}{\frac{1}{2 ^{60}}}

Apply the fraction rule:

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

= \frac{2 ^{60}}{1}

Apply rule

\frac{a}{1} = a

= 2^{60}

e^{- \frac{1}{2} \cdot 1}

0^{2} \cdot e^{- 0}

- \frac{n + 1}{n}

9.2 \cdot 1 0^{30} (1.6 \cdot 1 0^{- 19})

0.09 \cdot 101.33 \cdot (3.33 \cdot 1 0^{- 3})

What is (((4^1)^{-1})/(16^2))^{-6} ?
The solution to (((4^1)^{-1})/(16^2))^{-6} is 2^{60}