Evaluate 3^-8(3)^5

$3^{- 8} {(3)}^{5}$

Step 1

Multiply $3^{- 8}$ by ${(3)}^{5}$ by adding the exponents.

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

$3^{- 8 + 5}$

Add $- 8$ and $5$ .

$3^{- 3}$

Step 2

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

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

Step 3

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

$\frac{1}{27}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{27}$

Decimal Form:

$0.\overline{037}$