Basic Math Examples

$y^{\frac{3}{4}} \cdot y^{\frac{2}{3}}$

Step 1

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

$y^{\frac{3}{4} + \frac{2}{3}}$

Step 2

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

$y^{\frac{3}{4} \cdot \frac{3}{3} + \frac{2}{3}}$

Step 3

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y^{\frac{3}{4} \cdot \frac{3}{3} + \frac{2}{3} \cdot \frac{4}{4}}$

Step 4

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

Tap for more steps...

Step 4.1

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

$y^{\frac{3 \cdot 3}{4 \cdot 3} + \frac{2}{3} \cdot \frac{4}{4}}$

Step 4.2

Multiply $4$ by $3$ .

$y^{\frac{3 \cdot 3}{12} + \frac{2}{3} \cdot \frac{4}{4}}$

Step 4.3

Multiply $\frac{2}{3}$ by $\frac{4}{4}$ .

$y^{\frac{3 \cdot 3}{12} + \frac{2 \cdot 4}{3 \cdot 4}}$

Step 4.4

Multiply $3$ by $4$ .

$y^{\frac{3 \cdot 3}{12} + \frac{2 \cdot 4}{12}}$

Step 5

Combine the numerators over the common denominator.

$y^{\frac{3 \cdot 3 + 2 \cdot 4}{12}}$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply $3$ by $3$ .

$y^{\frac{9 + 2 \cdot 4}{12}}$

Step 6.2

Multiply $2$ by $4$ .

$y^{\frac{9 + 8}{12}}$

Step 6.3

Add $9$ and $8$ .

$y^{\frac{17}{12}}$