What is ((3x^2)/y)^{-2} ?

The solution to ((3x^2)/y)^{-2} is (y^2)/(9x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((3x^2)/y)^{-2}

simplify

(\frac{3 x ^{2}}{y})^{- 2}

\frac{y ^{2}}{9 x ^{4}}

Solution steps

(\frac{3 x ^{2}}{y})^{- 2}

Apply exponent rule:

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

(\frac{3 x ^{2}}{y})^{- 2} = \frac{1}{( \frac{3 x ^{2}}{y} ) ^{2}}

= \frac{1}{( \frac{3 x ^{2}}{y} ) ^{2}}

Simplify

(\frac{3 x ^{2}}{y})^{2} : \frac{9 x ^{4}}{y ^{2}}

= \frac{1}{\frac{9 x ^{4}}{y ^{2}}}

Apply the fraction rule:

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

= \frac{y ^{2}}{9 x ^{4}}

12 - 75 u^{6}

1 0^{- 16}

\frac{79}{10}

(3^{- 1})^{- 5}