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

${(6^{- 3} \cdot 6^{- 6})}^{- 5}$

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

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

${(6^{- 3 - 6})}^{- 5}$

Subtract $6$ from $- 3$ .

${(6^{- 9})}^{- 5}$

Multiply the exponents in ${(6^{- 9})}^{- 5}$ .

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

$6^{- 9 \cdot - 5}$

Multiply $- 9$ by $- 5$ .

$6^{45}$

The result can be shown in multiple forms.

Exact Form:

$6^{45}$

Decimal Form:

$1.03945637 \cdot 10^{35}$