Basic Math Examples

\frac{9^{- 3}}{9^{12}}

$\frac{9^{- 3}}{9^{12}}$

Step 1

Move

9^{- 3}

$9^{- 3}$ to the denominator using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

\frac{1}{9^{12} \cdot 9^{3}}

$\frac{1}{9^{12} \cdot 9^{3}}$

Step 2

Multiply

9^{12}

$9^{12}$ by

9^{3}

$9^{3}$ by adding the exponents.

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Step 2.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

\frac{1}{9^{12 + 3}}

$\frac{1}{9^{12 + 3}}$

Step 2.2

Add

12

$12$ and

3

$3$ .

\frac{1}{9^{15}}

$\frac{1}{9^{15}}$

\frac{1}{9^{15}}

$\frac{1}{9^{15}}$

Step 3

Raise

9

$9$ to the power of

15

$15$ .

\frac{1}{205891132094649}

$\frac{1}{205891132094649}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{1}{205891132094649}

$\frac{1}{205891132094649}$

Decimal Form:

4.85693574 \cdot 10^{- 15}

$4.85693574 \cdot 10^{- 15}$