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

The solution to (3x^{-3}y^3)^{-2} is (x^6)/(9y^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{x ^{6}}{9 y ^{6}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(3 x^{- 3} y^{3})^{2} : \frac{9 y ^{6}}{x ^{6}}

= \frac{1}{\frac{9 y ^{6}}{x ^{6}}}

Apply the fraction rule:

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

= \frac{x ^{6}}{9 y ^{6}}

4 x^{2} + 32 x y + 4 y^{2}

(2 x - 2 y + 2)^{3}

2 x^{3} + 6 x^{2} + 2 x^{2} + 5 x - 100

a^{3} + a^{2} - 21 a - 45

1 - 125 y^{3}