Algebra Examples

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

Step 1

Move $x^{3}$ .

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

Step 2

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

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

Step 3

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

$2 x^{3 \cdot \frac{3}{3} + \frac{2}{3}}$

Step 4

Combine $3$ and $\frac{3}{3}$ .

$2 x^{\frac{3 \cdot 3}{3} + \frac{2}{3}}$

Step 5

Combine the numerators over the common denominator.

$2 x^{\frac{3 \cdot 3 + 2}{3}}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $3$ by $3$ .

$2 x^{\frac{9 + 2}{3}}$

Step 6.2

Add $9$ and $2$ .

$2 x^{\frac{11}{3}}$