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

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

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

simplify

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

\frac{1}{4}

Decimal Notation

0.25

Solution steps

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

(2^{- 6})^{- 1} = 64

= \frac{2 ^{4}}{64}

Factor the number:

64 = 2^{6}

= \frac{2 ^{4}}{2 ^{6}}

Apply exponent rule:

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

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

Subtract the numbers:

6 - 4 = 2

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

2^{2} = 4

= \frac{1}{4}

\frac{84}{14}

\frac{4 ( 3 + c )}{4 c}

(3 x^{2} - 5 x + 7) - (- 2 + 6 x - 7 x^{2})

50 + 32

\frac{( 2 + i ) ^{2} ( - i )}{1 + i}