What is ((3a^5)/(9a^{-4)})^{-2} ?

The solution to ((3a^5)/(9a^{-4)})^{-2} is 9/(a^{18)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((3a^5)/(9a^{-4)})^{-2}

simplify

(\frac{3 a ^{5}}{9 a ^{- 4}})^{- 2}

\frac{9}{a ^{18}}

Solution steps

(\frac{3 a ^{5}}{9 a ^{- 4}})^{- 2}

Apply exponent rule:

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

(\frac{3 a ^{5}}{9 a ^{- 4}})^{- 2} = \frac{1}{( \frac{3 a ^{5}}{9 a ^{- 4}} ) ^{2}}

= \frac{1}{( \frac{3 a ^{5}}{9 a ^{- 4}} ) ^{2}}

Simplify

(\frac{3 a ^{5}}{9 a ^{- 4}})^{2} : \frac{a ^{18}}{9}

= \frac{1}{\frac{a ^{18}}{9}}

Apply the fraction rule:

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

= \frac{9}{a ^{18}}

2 y^{2} + 9 y - 18

(3 - 4 i) (- 3 - 2 i)

(9 - 3 i)^{2}

\frac{10}{88}

\frac{2 x ^{2} - 7 x + 6}{x - 2}

What is ((3a^5)/(9a^{-4)})^{-2} ?
The solution to ((3a^5)/(9a^{-4)})^{-2} is 9/(a^{18)}