What is the answer to 8x^{-3}=(8x)^3 ?

The answer to 8x^{-3}=(8x)^3 is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

8x^{-3}=(8x)^3

8 x^{- 3} = (8 x)^{3}

x = \frac{1}{2}, x = - \frac{1}{2}, x = \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i, x = \frac{1}{4} - \frac{3}{4} i, x = - \frac{1}{4} + \frac{3}{4} i

Solution steps

8 x^{- 3} = (8 x)^{3}

Refine

\frac{8}{x ^{3}} = 512 x^{3}

Multiply both sides by

x^{3}

8 = 512 x^{6}

Solve

8 = 512 x^{6} : x = \frac{1}{2}, x = - \frac{1}{2}, x = \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i, x = \frac{1}{4} - \frac{3}{4} i, x = - \frac{1}{4} + \frac{3}{4} i

x = \frac{1}{2}, x = - \frac{1}{2}, x = \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i, x = \frac{1}{4} - \frac{3}{4} i, x = - \frac{1}{4} + \frac{3}{4} i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{2}, x = - \frac{1}{2}, x = \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i, x = \frac{1}{4} - \frac{3}{4} i, x = - \frac{1}{4} + \frac{3}{4} i

\frac{6}{4 x - 1} = \frac{2}{9}

\frac{8}{x} = \frac{16}{4}

\frac{8}{6} = \frac{2}{v}

80 = \frac{( x + 300 ) x}{( x + 300 ) + x}

\frac{28}{21} = \frac{35 - x}{x}