To simplify the given expression.

Question

broliY · Accepted Answer

The solution is written below

Accepted Answer

Rewrite using the commutative property of multiplication.

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

Multiply $x^{\frac{3}{5}}$ by $x^{\frac{2}{3}}$ by adding the exponents.

Move $x^{\frac{2}{3}}$

$5 (x^{\frac{2}{3}} x^{\frac{3}{5}})$

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

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$

$5 x^{\frac{2}{3} * \frac{5}{5} + \frac{3}{5}}$

To write $\frac{3}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$

$5 x^{\frac{2}{3} * \frac{5}{5} + \frac{3}{5} * \frac{3}{3}}$

Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1

$5 x^{\frac{2 * 5}{15} + \frac{3 * 3}{15}}$

Combine the numerators over the common denominator.

$5 x^{\frac{2 * 5 + 3 * 3}{15}}$

Simplify the numerator.

$5 x^{\frac{19}{15}}$ - Answer

Answered question