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

The solution to ((x^2)/(y^3))^{-2} is (y^6)/(x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{y ^{6}}{x ^{4}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(\frac{x ^{2}}{y ^{3}})^{2} : \frac{x ^{4}}{y ^{6}}

= \frac{1}{\frac{x ^{4}}{y ^{6}}}

Apply the fraction rule:

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

= \frac{y ^{6}}{x ^{4}}

23 \cdot 9

4 x^{2} - 20 x + 24

32 \cdot 52

3 x (4 x - 3)

0. 2^{10} \cdot 0. 8^{0}