Simplify 3^-1*(3^0)^3

$3^{- 1} \cdot {(3^{0})}^{3}$

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

$\frac{1}{3} \cdot {(3^{0})}^{3}$

Multiply the exponents in ${(3^{0})}^{3}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{1}{3} \cdot 3^{0 \cdot 3}$

Multiply $0$ by $3$ .

$\frac{1}{3} \cdot 3^{0}$

Anything raised to $0$ is $1$ .

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

Multiply $\frac{1}{3}$ by $1$ .

$\frac{1}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$