Finite Math Examples

$\sqrt[5]{5 x^{2}} \cdot \sqrt[5]{9 x}$

Step 1

Combine using the product rule for radicals.

$\sqrt[5]{5 x^{2} (9 x)}$

Step 2

Multiply $9$ by $5$ .

$\sqrt[5]{45 x^{2} x}$

Step 3

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

$\sqrt[5]{45 (x^{1} x^{2})}$

Step 4

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

$\sqrt[5]{45 x^{1 + 2}}$

Step 5

Add $1$ and $2$ .

$\sqrt[5]{45 x^{3}}$