Algebra Examples

${(3 x)}^{\frac{2}{3}} {(3 x)}^{\frac{7}{3}}$

Step 1

Multiply ${(3 x)}^{\frac{2}{3}}$ by ${(3 x)}^{\frac{7}{3}}$ by adding the exponents.

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Step 1.1

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

${(3 x)}^{\frac{2}{3} + \frac{7}{3}}$

Step 1.2

Combine the numerators over the common denominator.

${(3 x)}^{\frac{2 + 7}{3}}$

Step 1.3

Add $2$ and $7$ .

${(3 x)}^{\frac{9}{3}}$

Step 1.4

Divide $9$ by $3$ .

${(3 x)}^{3}$

Step 2

Apply the product rule to $3 x$ .

$3^{3} x^{3}$

Step 3

Raise $3$ to the power of $3$ .

$27 x^{3}$