Basic Math Examples

${(m^{2})}^{- \frac{1}{5}}$

Step 1

Multiply the exponents in ${(m^{2})}^{- \frac{1}{5}}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$m^{2 (- \frac{1}{5})}$

Step 1.2

Multiply $2 (- \frac{1}{5})$ .

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Step 1.2.1

Multiply $- 1$ by $2$ .

$m^{- 2 (\frac{1}{5})}$

Step 1.2.2

Combine $- 2$ and $\frac{1}{5}$ .

$m^{\frac{- 2}{5}}$

Step 1.3

Move the negative in front of the fraction.

$m^{- \frac{2}{5}}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{m^{\frac{2}{5}}}$