Solve (3x^-2y^(1/2))^3

Evaluate

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

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

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

Evaluate the power

27 (x^{- 2})^{3} (y^{\frac{1}{2}})^{3}

Evaluate the power

More Steps

27 x^{- 6} (y^{\frac{1}{2}})^{3}

Evaluate the power

More Steps

27 x^{- 6} y^{\frac{3}{2}}

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

27 \times \frac{1}{x ^{6}} \times y^{\frac{3}{2}}

Rewrite the expression

\frac{27 y ^{\frac{3}{2}}}{x ^{6}}

Solution

More Steps

\frac{27 y y}{x ^{6}}

Simplify the expression