What is (a^3*b^{-5})^{-2} ?

The solution to (a^3*b^{-5})^{-2} is (b^{10})/(a^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (a^3*b^{-5})^{-2}

simplify

(a^{3} \cdot b^{- 5})^{- 2}

\frac{b ^{10}}{a ^{6}}

Solution steps

(a^{3} b^{- 5})^{- 2}

Apply exponent rule:

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

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

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

Simplify

(a^{3} b^{- 5})^{2} : \frac{a ^{6}}{b ^{10}}

= \frac{1}{\frac{a ^{6}}{b ^{10}}}

Apply the fraction rule:

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

= \frac{b ^{10}}{a ^{6}}

81 x^{4} + 27 x^{3} - 3 x - 1

(\frac{x ^{2} + y}{5})^{2}

2 x^{3} - 9 x^{2} - 10 x - 2 \cdot 2 - 3 x + 1

n^{2} - p^{2}

(\frac{a + 1}{a})^{2} + (\frac{a - 1}{a})^{2}