What is (9a^{-2}b^3)^{-2} ?

The solution to (9a^{-2}b^3)^{-2} is (a^4)/(81b^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (9a^{-2}b^3)^{-2}

simplify

(9 a^{- 2} b^{3})^{- 2}

\frac{a ^{4}}{81 b ^{6}}

Solution steps

(9 a^{- 2} b^{3})^{- 2}

Apply exponent rule:

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

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

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

Simplify

(9 a^{- 2} b^{3})^{2} : \frac{81 b ^{6}}{a ^{4}}

= \frac{1}{\frac{81 b ^{6}}{a ^{4}}}

Apply the fraction rule:

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

= \frac{a ^{4}}{81 b ^{6}}

(2 x - 3 y + 5 z)^{2}

14 - (- 3^{2})

4 (x^{2} - 6) - 3 x (x + 5)

\frac{- x + 7}{3 x ^{3} - 21 x ^{2}}

\frac{65}{12}