What is (3^{-3}+3^{-2})/(3^{-5)} ?

The solution to (3^{-3}+3^{-2})/(3^{-5)} is 36

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simplify (3^{-3}+3^{-2})/(3^{-5)}

simplify

\frac{3 ^{- 3} + 3 ^{- 2}}{3 ^{- 5}}

36

Solution steps

\frac{3 ^{- 3} + 3 ^{- 2}}{3 ^{- 5}}

Simplify

3^{- 3} + 3^{- 2} : \frac{4}{27}

= \frac{\frac{4}{27}}{3 ^{- 5}}

Apply the fraction rule:

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

= \frac{4}{27 \cdot 3 ^{- 5}}

Simplify

27 \cdot 3^{- 5} : \frac{1}{9}

= \frac{4}{\frac{1}{9}}

Apply the fraction rule:

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

= \frac{4 \cdot 9}{1}

Cancel

\frac{4 \cdot 9}{1} : 36

= 36

- \frac{5}{7} + (- \frac{1}{42})

lo g_{2} (128) - lo g_{2} (16)

\frac{5}{6} + \frac{1}{5}

x^{2} - \frac{1}{2} x

What is (3^{-3}+3^{-2})/(3^{-5)} ?
The solution to (3^{-3}+3^{-2})/(3^{-5)} is 36