What is the answer to (8x)^{-3}=64 ?

The answer to (8x)^{-3}=64 is x= 1/32 ,x=-1/64+(sqrt(3))/(64)i,x=-1/64-(sqrt(3))/(64)i

Solve for x: (8x)^{-3}=64

The solution is x= 1/32 ,x=-1/64+(sqrt(3))/(64)i,x=-1/64-(sqrt(3))/(64)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(8 x)^{- 3} = 64

x = \frac{1}{32}, x = - \frac{1}{64} + \frac{3}{64} i, x = - \frac{1}{64} - \frac{3}{64} i

Solution steps

(8 x)^{- 3} = 64

Refine

\frac{1}{512 x ^{3}} = 64

Multiply both sides by

x^{3}

\frac{1}{512} = 64 x^{3}

Solve

\frac{1}{512} = 64 x^{3} : x = \frac{1}{32}, x = - \frac{1}{64} + \frac{3}{64} i, x = - \frac{1}{64} - \frac{3}{64} i

x = \frac{1}{32}, x = - \frac{1}{64} + \frac{3}{64} i, x = - \frac{1}{64} - \frac{3}{64} i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{32}, x = - \frac{1}{64} + \frac{3}{64} i, x = - \frac{1}{64} - \frac{3}{64} i

x, \frac{1}{x} + x y = 0

y, x = \frac{y - 2}{y + 2}

\frac{12}{x} = 24

\frac{3}{2 x} = \frac{7}{6}

x - \frac{27}{x} = 6

What is the answer to (8x)^{-3}=64 ?
The answer to (8x)^{-3}=64 is x= 1/32 ,x=-1/64+(sqrt(3))/(64)i,x=-1/64-(sqrt(3))/(64)i
Solve for x: (8x)^{-3}=64
The solution is x= 1/32 ,x=-1/64+(sqrt(3))/(64)i,x=-1/64-(sqrt(3))/(64)i