Pre-Algebra Examples

$b^{\frac{1}{3}} x \cdot b^{\frac{7}{3}}$

Step 1

Multiply $b^{\frac{1}{3}}$ by $b^{\frac{7}{3}}$ by adding the exponents.

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Step 1.1

Move $b^{\frac{7}{3}}$ .

$b^{\frac{7}{3}} b^{\frac{1}{3}} x$

Step 1.2

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

$b^{\frac{7}{3} + \frac{1}{3}} x$

Step 1.3

Combine the numerators over the common denominator.

$b^{\frac{7 + 1}{3}} x$

Step 1.4

Add $7$ and $1$ .

$b^{\frac{8}{3}} x$

Step 2

Reorder factors in $b^{\frac{8}{3}} x$ .

$x b^{\frac{8}{3}}$