Algebra Examples

$\frac{3^{- 4} \cdot 3^{2}}{3}$

Step 1

Multiply $3^{- 4}$ by $3^{2}$ 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.

$\frac{3^{- 4 + 2}}{3}$

Step 1.2

Add $- 4$ and $2$ .

$\frac{3^{- 2}}{3}$

Step 2

Move $3^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{3 \cdot 3^{2}}$

Step 3

Multiply $3$ by $3^{2}$ by adding the exponents.

Tap for more steps...

Step 3.1

Multiply $3$ by $3^{2}$ .

Tap for more steps...

Step 3.1.1

Raise $3$ to the power of $1$ .

$\frac{1}{3^{1} \cdot 3^{2}}$

Step 3.1.2

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

$\frac{1}{3^{1 + 2}}$

Step 3.2

Add $1$ and $2$ .

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

Step 4

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

$\frac{1}{27}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{27}$

Decimal Form:

$0.\overline{037}$