Basic Math Examples

$3 a^{2} b^{- 2} c^{- 3}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 2

Multiply $3 a^{2} \frac{1}{b^{2}}$ .

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Step 2.1

Combine $3$ and $\frac{1}{b^{2}}$ .

$a^{2} \frac{3}{b^{2}} c^{- 3}$

Step 2.2

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

$\frac{a^{2} \cdot 3}{b^{2}} c^{- 3}$

Step 3

Move $3$ to the left of $a^{2}$ .

$\frac{3 \cdot a^{2}}{b^{2}} c^{- 3}$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 5

Combine.

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

Step 6

Multiply $3$ by $1$ .

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