Evaluate 6^-8*0.6^5

$6^{- 8} \cdot {0.6}^{5}$

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

$\frac{1}{6^{8}} \cdot {0.6}^{5}$

Evaluate the exponents.

Raise $6$ to the power of $8$ .

$\frac{1}{1679616} \cdot {0.6}^{5}$

Raise $0.6$ to the power of $5$ .

$\frac{1}{1679616} \cdot 0.07776$

Cancel the common factor of $0.07776$ .

Factor $0.07776$ out of $1679616$ .

$\frac{1}{0.07776 (21600000)} \cdot 0.07776$

Cancel the common factor.

$\frac{1}{0.07776 \cdot 21600000} \cdot 0.07776$

Rewrite the expression.

$\frac{1}{21600000}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{21600000}$

Decimal Form:

$4.\overline{629} \cdot 10^{- 8}$