en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify [(3x)^2]^{-2}

Solution

simplify

[(3 x)^{2}]^{- 2}

Solution

\frac{1}{81 x ^{4}}

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

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

2 (- 2) = - 4

= (3 x)^{- 4}

Apply exponent rule:

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

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

= \frac{1}{( 3 x ) ^{4}}

Simplify

(3 x)^{4} : 81 x^{4}

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

Popular Examples

simplify (x-5)^2-2(x-5)simplify

(x - 5)^{2} - 2 (x - 5)

simplify 4/(sqrt(3)-1)simplify

\frac{4}{3 - 1}

simplify 1/(x^{\frac{-3){6}}}simplify

\frac{1}{x ^{\frac{- 3}{6}}}

simplify a/b+a/c simplify

\frac{a}{b} + \frac{a}{c}

simplify 24/70 simplify

\frac{24}{70}

Frequently Asked Questions (FAQ)

What is [(3x)^2]^{-2} ?
The solution to [(3x)^2]^{-2} is 1/(81x^4)