Algebra Examples

$\frac{5}{5^{\frac{1}{3}}}$

Move $5^{\frac{1}{3}}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$5 \cdot 5^{- \frac{1}{3}}$

Multiply $5$ by $5^{- \frac{1}{3}}$ by adding the exponents.

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Multiply $5$ by $5^{- \frac{1}{3}}$ .

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Raise $5$ to the power of $1$ .

$5^{1} \cdot 5^{- \frac{1}{3}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Write $1$ as a fraction with a common denominator.

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

Combine the numerators over the common denominator.

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

Subtract $1$ from $3$ .

$5^{\frac{2}{3}}$