Simplify (6^-5*6^4)^-1

${(6^{- 5} \cdot 6^{4})}^{- 1}$

Multiply $6^{- 5}$ by $6^{4}$ by adding the exponents.

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

${(6^{- 5 + 4})}^{- 1}$

Add $- 5$ and $4$ .

${(6^{- 1})}^{- 1}$

Multiply the exponents in ${(6^{- 1})}^{- 1}$ .

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

$6^{- - 1}$

Multiply $- 1$ by $- 1$ .

$6^{1}$

Evaluate the exponent.

$6$