Basic Math Examples

$9^{- 3} \cdot 9$

Step 1

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

Tap for more steps...

Step 1.1

Multiply $9^{- 3}$ by $9$ .

Tap for more steps...

Step 1.1.1

Raise $9$ to the power of $1$ .

$9^{- 3} \cdot 9^{1}$

Step 1.1.2

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

$9^{- 3 + 1}$

Step 1.2

Add $- 3$ and $1$ .

$9^{- 2}$

Step 2

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

$\frac{1}{9^{2}}$

Step 3

Raise $9$ to the power of $2$ .

$\frac{1}{81}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{81}$

Decimal Form:

$0.01234567 \dots$