Simplify 1/(5^-3)*1/(5^6)

$\frac{1}{5^{- 3}} \cdot \frac{1}{5^{6}}$

Combine.

$\frac{1 \cdot 1}{5^{- 3} \cdot 5^{6}}$

Multiply $5^{- 3}$ by $5^{6}$ by adding the exponents.

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

$\frac{1 \cdot 1}{5^{- 3 + 6}}$

Add $- 3$ and $6$ .

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

Multiply $1$ by $1$ .

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

Raise $5$ to the power of $3$ .

$\frac{1}{125}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{125}$

Decimal Form:

$0.008$