Solve (a^(2)b)^( (-1)/2 )

Evaluate

(a^{2} b)^{\frac{- 1}{2}}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

(a^{2} b)^{- \frac{1}{2}}

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

(a^{2})^{- \frac{1}{2}} b^{- \frac{1}{2}}

Evaluate the power

More Steps

a^{- 1} b^{- \frac{1}{2}}

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

\frac{1}{a} \times b^{- \frac{1}{2}}

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

\frac{1}{a} \times \frac{1}{b ^{\frac{1}{2}}}

Rewrite the expression

\frac{1}{a b ^{\frac{1}{2}}}

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

\frac{1}{a b}

Multiply by the Conjugate

\frac{1 \times b}{a b \times b}

Calculate

\frac{1 \times b}{ab}

Solution

\frac{b}{ab}

Simplify the expression