What is ((6^5)/(9^5))^{-1/5} ?

The solution to ((6^5)/(9^5))^{-1/5} is 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((6^5)/(9^5))^{-1/5}

simplify

(\frac{6 ^{5}}{9 ^{5}})^{- \frac{1}{5}}

\frac{3}{2}

Decimal Notation

1.5

Solution steps

(\frac{6 ^{5}}{9 ^{5}})^{- \frac{1}{5}}

Apply exponent rule:

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

(\frac{6 ^{5}}{9 ^{5}})^{- \frac{1}{5}} = \frac{1}{( \frac{6 ^{5}}{9 ^{5}} ) ^{\frac{1}{5}}}

= \frac{1}{( \frac{6 ^{5}}{9 ^{5}} ) ^{\frac{1}{5}}}

(\frac{6 ^{5}}{9 ^{5}})^{\frac{1}{5}} = \frac{2}{3}

= \frac{1}{\frac{2}{3}}

Apply the fraction rule:

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

= \frac{3}{2}

3 x^{2} - 20 x - 7

m^{2} + 10 m = 0

(25 + 32) (25 - 32)

4^{3}

2 (\frac{1}{6})