Algebra Examples

$\frac{b^{\frac{2}{3}} b^{\frac{2}{3}}}{- b^{\frac{1}{3}}}$

Step 1

Reduce the expression $\frac{b^{\frac{2}{3}} b^{\frac{2}{3}}}{- b^{\frac{1}{3}}}$ by cancelling the common factors.

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Step 1.1

Factor $b^{\frac{1}{3}}$ out of $b^{\frac{2}{3}} b^{\frac{2}{3}}$ .

$\frac{b^{\frac{1}{3}} (b^{\frac{1}{3}} b^{\frac{2}{3}})}{- b^{\frac{1}{3}}}$

Step 1.2

Factor $b^{\frac{1}{3}}$ out of $- b^{\frac{1}{3}}$ .

$\frac{b^{\frac{1}{3}} (b^{\frac{1}{3}} b^{\frac{2}{3}})}{b^{\frac{1}{3}} \cdot - 1}$

Step 1.3

Cancel the common factor.

$\frac{b^{\frac{1}{3}} (b^{\frac{1}{3}} b^{\frac{2}{3}})}{b^{\frac{1}{3}} \cdot - 1}$

Step 1.4

Rewrite the expression.

$\frac{b^{\frac{1}{3}} b^{\frac{2}{3}}}{- 1}$

Step 2

Multiply $b^{\frac{1}{3}}$ by $b^{\frac{2}{3}}$ by adding the exponents.

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Step 2.1

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

$\frac{b^{\frac{1}{3} + \frac{2}{3}}}{- 1}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{b^{\frac{1 + 2}{3}}}{- 1}$

Step 2.3

Add $1$ and $2$ .

$\frac{b^{\frac{3}{3}}}{- 1}$

Step 2.4

Divide $3$ by $3$ .

$\frac{b^{1}}{- 1}$

Step 3

Simplify $b^{1}$ .

$\frac{b}{- 1}$