Simplify the Radical Expression y^(3/4)*y^(1/3)

$y^{\frac{3}{4}} \cdot y^{\frac{1}{3}}$

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

$y^{\frac{3}{4} + \frac{1}{3}}$

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y^{\frac{3}{4} \cdot \frac{3}{3} + \frac{1}{3}}$

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y^{\frac{3}{4} \cdot \frac{3}{3} + \frac{1}{3} \cdot \frac{4}{4}}$

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3}{4}$ by $\frac{3}{3}$ .

$y^{\frac{3 \cdot 3}{4 \cdot 3} + \frac{1}{3} \cdot \frac{4}{4}}$

Multiply $4$ by $3$ .

$y^{\frac{3 \cdot 3}{12} + \frac{1}{3} \cdot \frac{4}{4}}$

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$y^{\frac{3 \cdot 3}{12} + \frac{4}{3 \cdot 4}}$

Multiply $3$ by $4$ .

$y^{\frac{3 \cdot 3}{12} + \frac{4}{12}}$

Combine the numerators over the common denominator.

$y^{\frac{3 \cdot 3 + 4}{12}}$

Simplify the numerator.

Multiply $3$ by $3$ .

$y^{\frac{9 + 4}{12}}$

Add $9$ and $4$ .

$y^{\frac{13}{12}}$