Evaluate Evaluate 6^-8*6^5

Evaluate $6^{- 8} \cdot 6^{5}$

Multiply $6^{- 8}$ by $6^{5}$ by adding the exponents.

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

$6^{- 8 + 5}$

Add $- 8$ and $5$ .

$6^{- 3}$

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

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

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

$\frac{1}{216}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{216}$

Decimal Form:

$0.004\overline{629}$