What is (3x^{-2})^{-4}x^{-4} ?

The solution to (3x^{-2})^{-4}x^{-4} is (x^4)/(81)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x^{-2})^{-4}x^{-4}

simplify

(3 x^{- 2})^{- 4} x^{- 4}

\frac{x ^{4}}{81}

Solution steps

(3 x^{- 2})^{- 4} x^{- 4}

Simplify

(3 x^{- 2})^{- 4} : \frac{x ^{8}}{81}

= \frac{x ^{8}}{81} x^{- 4}

Apply exponent rule:

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

x^{- 4} = \frac{1}{x ^{4}}

= \frac{x ^{8}}{81} \cdot \frac{1}{x ^{4}}

Apply the fraction rule:

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

= \frac{x ^{8} \cdot 1}{81 x ^{4}}

Apply rule:

a \cdot 1 = a

x^{8} \cdot 1 = x^{8}

= \frac{x ^{8}}{81 x ^{4}}

Simplify

\frac{x ^{8}}{x ^{4}} : x^{4}

= \frac{x ^{4}}{81}

9 + 2

\frac{5 ^{2}}{5}

(3 x - y) (6 x^{2} + 5 x y - 7 y^{2})

(5 m + 2 n)^{3}

What is (3x^{-2})^{-4}x^{-4} ?
The solution to (3x^{-2})^{-4}x^{-4} is (x^4)/(81)