Basic Math Examples

$\frac{3^{6} \cdot 3^{- 9}}{3^{18}}$

Step 1

Multiply $3^{6}$ by $3^{- 9}$ by adding the exponents.

Tap for more steps...

Step 1.1

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

$\frac{3^{6 - 9}}{3^{18}}$

Step 1.2

Subtract $9$ from $6$ .

$\frac{3^{- 3}}{3^{18}}$

Step 2

Move $3^{- 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{3^{18} \cdot 3^{3}}$

Step 3

Multiply $3^{18}$ by $3^{3}$ by adding the exponents.

Tap for more steps...

Step 3.1

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

$\frac{1}{3^{18 + 3}}$

Step 3.2

Add $18$ and $3$ .

$\frac{1}{3^{21}}$

Step 4

Raise $3$ to the power of $21$ .

$\frac{1}{10460353203}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10460353203}$

Decimal Form:

$9.55990663 \cdot 10^{- 11}$