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

The answer to 4x^{-2/3}=9 is x= 8/27 ,x=-8/27

Solve for x: 4x^{-2/3}=9

The solution is x= 8/27 ,x=-8/27

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = \frac{8}{27}, x = - \frac{8}{27}

Decimal Notation

x = 0.29629 \dots, x = - 0.29629 \dots

Solution steps

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

Expand

4 x^{- \frac{2}{3}} : \frac{4}{x ^{\frac{2}{3}}}

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

Take both sides of the equation to the power of

3 : \frac{64}{x ^{2}} = 729

\frac{64}{x ^{2}} = 729

Solve

\frac{64}{x ^{2}} = 729 : x = \frac{8}{27}, x = - \frac{8}{27}

x = \frac{8}{27}, x = - \frac{8}{27}

Verify Solutions:

x = \frac{8}{27}

True

, x = - \frac{8}{27}

True

The solutions are

x = \frac{8}{27}, x = - \frac{8}{27}

- x + 3 - x + 1 = 0

5 = (5 - 0)^{2} + (2 - X)^{2}

x + 7 - 2 = 0

6 = \frac{t}{\frac{2}{9}}

3 - x = 4 x

What is the answer to 4x^{-2/3}=9 ?
The answer to 4x^{-2/3}=9 is x= 8/27 ,x=-8/27
Solve for x: 4x^{-2/3}=9
The solution is x= 8/27 ,x=-8/27