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

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

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)}

simplify

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

\frac{b ^{2}}{a ^{3}}

Solution steps

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

Apply exponent rule:

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

a^{- 3} = \frac{1}{a ^{3}}

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

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

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

Simplify

a^{3} b^{- 2} : \frac{a ^{3}}{b ^{2}}

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

Apply the fraction rule:

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

= \frac{b ^{2}}{a ^{3}}

4 x^{2} - 4 x - 3 = 0

21 x + 30 = 45 x - 26

(3 x + 3)^{2} = 48

lo g_{\frac{1}{3}} (\frac{1}{27})

4 \cdot (2 \cdot x - 3) + (- x - 2) = 3