Pre-Algebra Examples

$\frac{- 15 a^{2} b^{3}}{12^{- 6} b}$

Step 1

Move $12^{- 6}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{- 15 a^{2} b^{3} \cdot 12^{6}}{b}$

Step 2

Cancel the common factor of $b^{3}$ and $b$ .

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Step 2.1

Factor $b$ out of $- 15 a^{2} b^{3} \cdot 12^{6}$ .

$\frac{b (- 15 a^{2} b^{2} \cdot 12^{6})}{b}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

$\frac{b (- 15 a^{2} b^{2} \cdot 12^{6})}{b^{1}}$

Step 2.2.2

Factor $b$ out of $b^{1}$ .

$\frac{b (- 15 a^{2} b^{2} \cdot 12^{6})}{b \cdot 1}$

Step 2.2.3

Cancel the common factor.

$\frac{b (- 15 a^{2} b^{2} \cdot 12^{6})}{b \cdot 1}$

Step 2.2.4

Rewrite the expression.

$\frac{- 15 a^{2} b^{2} \cdot 12^{6}}{1}$

Step 2.2.5

Divide $- 15 a^{2} b^{2} \cdot 12^{6}$ by $1$ .

$- 15 a^{2} b^{2} \cdot 12^{6}$

Step 3

Raise $12$ to the power of $6$ .

$- 15 a^{2} b^{2} \cdot 2985984$

Step 4

Multiply $2985984$ by $- 15$ .

$- 44789760 a^{2} b^{2}$