What is (2^{-3}*3^{-2})^{-1} ?

The solution to (2^{-3}*3^{-2})^{-1} is 72

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2^{-3}*3^{-2})^{-1}

simplify

(2^{- 3} \cdot 3^{- 2})^{- 1}

72

Solution steps

(2^{- 3} \cdot 3^{- 2})^{- 1}

Apply exponent rule:

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

(2^{- 3} \cdot 3^{- 2})^{- 1} = \frac{1}{2 ^{- 3} \cdot 3 ^{- 2}}

= \frac{1}{2 ^{- 3} \cdot 3 ^{- 2}}

Multiply

2^{- 3} \cdot 3^{- 2} : \frac{1}{72}

= \frac{1}{\frac{1}{72}}

Apply the fraction rule:

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

= \frac{72}{1}

Apply rule

\frac{a}{1} = a

= 72

22 \cdot 42

\frac{a}{b} + c

\frac{3}{5 + 3}

\frac{33}{72}

\frac{1}{x - 1}