What is (2^{-6})/(2^{-5)+2^{-2}} ?

The solution to (2^{-6})/(2^{-5)+2^{-2}} is 1/18

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simplify (2^{-6})/(2^{-5)+2^{-2}}

simplify

\frac{2 ^{- 6}}{2 ^{- 5} + 2 ^{- 2}}

\frac{1}{18}

Decimal Notation

0.05555 \dots

Solution steps

\frac{2 ^{- 6}}{2 ^{- 5} + 2 ^{- 2}}

2^{- 6} = \frac{1}{64}

= \frac{\frac{1}{64}}{2 ^{- 5} + 2 ^{- 2}}

Simplify

2^{- 5} + 2^{- 2} : \frac{9}{32}

= \frac{\frac{1}{64}}{\frac{9}{32}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{1 \cdot 32}{64 \cdot 9}

Cancel

\frac{1 \cdot 32}{64 \cdot 9} : \frac{1}{18}

= \frac{1}{18}

26.7 - 6.3 (6 x - 10.1)

(\frac{4 x ^{5}}{3 y ^{4}})^{2}

(1 - x) (- 3 - x) - 2

4 (6 x)

\frac{1}{x - 8} - (\frac{1}{x} - 9)

What is (2^{-6})/(2^{-5)+2^{-2}} ?
The solution to (2^{-6})/(2^{-5)+2^{-2}} is 1/18