Solve ((5x^3)(2x)^-3)/sqrt x

Evaluate

\frac{( 5 x ^{3} ) ( 2 x ) ^{- 3}}{x}

Evaluate

\frac{5 x ^{3} ( 2 x ) ^{- 3}}{x}

Reduce the fraction

More Steps

5 x^{\frac{5}{2}} (2 x)^{- 3}

Evaluate the power

More Steps

5 x^{\frac{5}{2}} \times \frac{1}{8} x^{- 3}

Multiply the numbers

\frac{5}{8} x^{\frac{5}{2}} \times x^{- 3}

Multiply the terms with the same base by adding their exponents

\frac{5}{8} x^{\frac{5}{2} - 3}

Subtract the numbers

More Steps

\frac{5}{8} x^{- \frac{1}{2}}

Express with a positive exponent using a^{- n} = \frac{1}{a ^{n}}

\frac{5}{8} \times \frac{1}{x ^{\frac{1}{2}}}

Rewrite the expression

\frac{5}{8 x ^{\frac{1}{2}}}

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

\frac{5}{8 x}

Multiply by the Conjugate

\frac{5 x}{8 x \times x}

Solution

\frac{5 x}{8 x}

Simplify the expression