Evaluate (3^-4*3^-1)/3

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

Multiply $3^{- 4}$ by $3^{- 1}$ by adding the exponents.

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

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

Subtract $1$ from $- 4$ .

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

Move $3^{- 5}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Multiply $3$ by $3^{5}$ by adding the exponents.

Multiply $3$ by $3^{5}$ .

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

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

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

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

Add $1$ and $5$ .

$\frac{1}{3^{6}}$

Raise $3$ to the power of $6$ .

$\frac{1}{729}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{729}$

Decimal Form:

$0.00137174 \dots$