Pre-Algebra Examples

$\frac{2 (a^{3})}{\frac{b}{\frac{5}{b^{2}}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$2 a^{3} \frac{\frac{5}{b^{2}}}{b}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$2 a^{3} (\frac{5}{b^{2}} \cdot \frac{1}{b})$

Step 3

Combine.

$2 a^{3} \frac{5 \cdot 1}{b^{2} b}$

Step 4

Multiply $b^{2}$ by $b$ by adding the exponents.

Tap for more steps...

Step 4.1

Multiply $b^{2}$ by $b$ .

Tap for more steps...

Step 4.1.1

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

$2 a^{3} \frac{5 \cdot 1}{b^{2} b^{1}}$

Step 4.1.2

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

$2 a^{3} \frac{5 \cdot 1}{b^{2 + 1}}$

Step 4.2

Add $2$ and $1$ .

$2 a^{3} \frac{5 \cdot 1}{b^{3}}$

Step 5

Multiply $5$ by $1$ .

$2 a^{3} \frac{5}{b^{3}}$

Step 6

Multiply $2 a^{3} \frac{5}{b^{3}}$ .

Tap for more steps...

Step 6.1

Combine $2$ and $\frac{5}{b^{3}}$ .

$a^{3} \frac{2 \cdot 5}{b^{3}}$

Step 6.2

Multiply $2$ by $5$ .

$a^{3} \frac{10}{b^{3}}$

Step 6.3

Combine $a^{3}$ and $\frac{10}{b^{3}}$ .

$\frac{a^{3} \cdot 10}{b^{3}}$

Step 7

Move $10$ to the left of $a^{3}$ .

$\frac{10 a^{3}}{b^{3}}$