What is the answer to 4x^{-2/3}= 1/9 ?

The answer to 4x^{-2/3}= 1/9 is x=216,x=-216

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4x^{-2/3}= 1/9

4 x^{- \frac{2}{3}} = \frac{1}{9}

x = 216, x = - 216

Solution steps

4 x^{- \frac{2}{3}} = \frac{1}{9}

Multiply both sides by

9

4 x^{- \frac{2}{3}} \cdot 9 = \frac{1}{9} \cdot 9

Simplify

36 x^{- \frac{2}{3}} = 1

Expand

36 x^{- \frac{2}{3}} : \frac{36}{x ^{\frac{2}{3}}}

\frac{36}{x ^{\frac{2}{3}}} = 1

Take both sides of the equation to the power of

3 : \frac{46656}{x ^{2}} = 1

\frac{46656}{x ^{2}} = 1

Solve

\frac{46656}{x ^{2}} = 1 : x = 216, x = - 216

x = 216, x = - 216

Verify Solutions:

x = 216

True

, x = - 216

True

The solutions are

x = 216, x = - 216

x - 2 x - 3 = 3

(2 x - 5)^{3} - 10 = 17

(2 x + 5)^{\frac{1}{4}} = 2

x - 3 + x + 13 = 8

z^{2} + 2 z = 3 + z

What is the answer to 4x^{-2/3}= 1/9 ?
The answer to 4x^{-2/3}= 1/9 is x=216,x=-216
Solve for x: 4x^{-2/3}= 1/9
The solution is x=216,x=-216