Simplify 7/(7^(1/3))

$\frac{7}{7^{\frac{1}{3}}}$

Step 1

Move $7^{\frac{1}{3}}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$7 \cdot 7^{- \frac{1}{3}}$

Step 2

Multiply $7$ by $7^{- \frac{1}{3}}$ by adding the exponents.

Multiply $7$ by $7^{- \frac{1}{3}}$ .

Raise $7$ to the power of $1$ .

$7^{1} \cdot 7^{- \frac{1}{3}}$

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

$7^{1 - \frac{1}{3}}$

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

$7^{\frac{3}{3} - \frac{1}{3}}$

Combine the numerators over the common denominator.

$7^{\frac{3 - 1}{3}}$

Subtract $1$ from $3$ .

$7^{\frac{2}{3}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$7^{\frac{2}{3}}$

Decimal Form:

$3.65930571 \dots$