Basic Math Examples

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

Step 1

Cancel the common factor of $b$ .

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Step 1.1

Factor $b$ out of $b^{2}$ .

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

Step 1.2

Factor $b$ out of $2 b$ .

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

Step 1.3

Cancel the common factor.

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

Step 1.4

Rewrite the expression.

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

Step 2

Combine $b$ and $\frac{2 b^{3}}{2}$ .

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

Step 3

Raise $b$ to the power of $1$ .

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

Step 4

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

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

Step 5

Add $1$ and $3$ .

$\frac{2 b^{4}}{2}$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Cancel the common factor.

$\frac{2 b^{4}}{2}$

Step 6.2

Divide $b^{4}$ by $1$ .

$b^{4}$