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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

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

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

Apply the fraction rule:

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

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

\frac{66}{4}

2 \cdot lo g_{2} (2)

2 \frac{1}{4} \div 1 \frac{1}{2}

(a - b)^{9}

(\frac{6 a}{3 b})^{5}