What is (4ab^{-2})/(-3c^{-2)} ?

The solution to (4ab^{-2})/(-3c^{-2)} is -(4ac^2)/(3b^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4ab^{-2})/(-3c^{-2)}

simplify

\frac{4 a b ^{- 2}}{- 3 c ^{- 2}}

- \frac{4 a c ^{2}}{3 b ^{2}}

Solution steps

\frac{4 a b ^{- 2}}{- 3 c ^{- 2}}

Apply the fraction rule:

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

= - \frac{4 a b ^{- 2}}{3 c ^{- 2}}

Simplify

4 a b^{- 2} : \frac{4 a}{b ^{2}}

= - \frac{\frac{4 a}{b ^{2}}}{3 c ^{- 2}}

Apply the fraction rule:

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

\frac{\frac{4 a}{b ^{2}}}{3 c ^{- 2}} = \frac{4 a}{b ^{2} \cdot 3 c ^{- 2}}

= - \frac{4 a}{b ^{2} \cdot 3 c ^{- 2}}

Simplify

b^{2} \cdot 3 c^{- 2} : \frac{3 b ^{2}}{c ^{2}}

= - \frac{4 a}{\frac{3 b ^{2}}{c ^{2}}}

Apply the fraction rule:

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

\frac{4 a}{\frac{3 b ^{2}}{c ^{2}}} = \frac{4 a c ^{2}}{3 b ^{2}}

= - \frac{4 a c ^{2}}{3 b ^{2}}

\frac{( x + 3 ) ( x - 3 ) - 4}{2} - \frac{x - 2}{3} = \frac{( x - 2 ) ^{2} + 1}{6}

3^{2} + 6^{2} = c^{2}

\frac{x ^{3} + 8}{x ^{4} - 16}

- 8 \leq 5 x - 7 \leq 5

\frac{π}{6} - 2 π

What is (4ab^{-2})/(-3c^{-2)} ?
The solution to (4ab^{-2})/(-3c^{-2)} is -(4ac^2)/(3b^2)