Basic Math Examples

${(- 125)}^{1 \div 3}$

Step 1

Rewrite the division as a fraction.

${(- 125)}^{\frac{1}{3}}$

Step 2

Simplify the expression.

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Step 2.1

Rewrite $- 125$ as ${(- 5)}^{3}$ .

${({(- 5)}^{3})}^{\frac{1}{3}}$

Step 2.2

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

${(- 5)}^{3 (\frac{1}{3})}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Cancel the common factor.

${(- 5)}^{3 (\frac{1}{3})}$

Step 3.2

Rewrite the expression.

${(- 5)}^{1}$

Step 4

Evaluate the exponent.

$- 5$