Find the Exact Value (3^-4)/3

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

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

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

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

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

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

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

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

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

Add $1$ and $4$ .

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

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

$\frac{1}{243}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{243}$

Decimal Form:

$0.00411522 \dots$