Simplify 7^(3/5)*7^(1/5)

$7^{\frac{3}{5}} \cdot 7^{\frac{1}{5}}$

Step 1

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

$7^{\frac{3}{5} + \frac{1}{5}}$

Step 2

Combine the numerators over the common denominator.

$7^{\frac{3 + 1}{5}}$

Step 3

Add $3$ and $1$ .

$7^{\frac{4}{5}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$7^{\frac{4}{5}}$

Decimal Form:

$4.74327639 \dots$