What is (3^{-3}+3^{-4})/(3^{-5)} ?

The solution to (3^{-3}+3^{-4})/(3^{-5)} is 12

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simplify (3^{-3}+3^{-4})/(3^{-5)}

simplify

\frac{3 ^{- 3} + 3 ^{- 4}}{3 ^{- 5}}

12

Solution steps

\frac{3 ^{- 3} + 3 ^{- 4}}{3 ^{- 5}}

Simplify

3^{- 3} + 3^{- 4} : \frac{4}{81}

= \frac{\frac{4}{81}}{3 ^{- 5}}

Apply the fraction rule:

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

= \frac{4}{81 \cdot 3 ^{- 5}}

Simplify

81 \cdot 3^{- 5} : \frac{1}{3}

= \frac{4}{\frac{1}{3}}

Apply the fraction rule:

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

= \frac{4 \cdot 3}{1}

Cancel

\frac{4 \cdot 3}{1} : 12

= 12

0.25 x + 0.75 (10 - x) = 3

8 w^{3} + 12 w^{2} + 10 w + 15

5 x^{2} + 19 x + 12

9 x y^{2} \cdot 3 x^{5} y^{2}

16 x^{2} + 24 x + 10

What is (3^{-3}+3^{-4})/(3^{-5)} ?
The solution to (3^{-3}+3^{-4})/(3^{-5)} is 12