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

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

Step 1

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

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Add $1$ and $7$ .

$c^{\frac{8}{3}}$