Algebra Examples

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

Step 1

Move $3^{- 4}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{3 \cdot 3^{4}}$

Step 2

Multiply $3$ by $3^{4}$ by adding the exponents.

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Step 2.1

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

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Step 2.1.1

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

$\frac{1}{3^{1} \cdot 3^{4}}$

Step 2.1.2

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

$\frac{1}{3^{1 + 4}}$

Step 2.2

Add $1$ and $4$ .

$\frac{1}{3^{5}}$

Step 3

Raise $3$ to the power of $5$ .

$\frac{1}{243}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{243}$

Decimal Form:

$0.00411522 \dots$