Solve (8x^2)^-(4/3)

Evaluate

(8 x^{2})^{- \frac{4}{3}}

To raise a product to a power,raise each factor to that power

8^{- \frac{4}{3}} (x^{2})^{- \frac{4}{3}}

Evaluate the power

More Steps

\frac{1}{16} (x^{2})^{- \frac{4}{3}}

Evaluate the power

More Steps

\frac{1}{16} x^{- \frac{8}{3}}

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

\frac{1}{16} \times \frac{1}{x ^{\frac{8}{3}}}

Rewrite the expression

\frac{1}{16 x ^{\frac{8}{3}}}

Transform the expression

More Steps

\frac{1}{16 x ^{2} 3 x ^{2}}

Multiply by the Conjugate

\frac{1 \times 3 x}{16 x ^{2} 3 x ^{2} \times 3 x}

Calculate

\frac{1 \times 3 x}{16 x ^{2} \times x}

Any expression multiplied by 1 remains the same

\frac{3 x}{16 x ^{2} \times x}

Solution

\frac{3 x}{16 x ^{3}}

Simplify the expression