Simplify ((-8)^2c^0)/(5^-1d^-6)

$\frac{{(- 8)}^{2} c^{0}}{5^{- 1} d^{- 6}}$

Move $5^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{{(- 8)}^{2} c^{0} \cdot 5}{d^{- 6}}$

Move $d^{- 6}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

${(- 8)}^{2} c^{0} \cdot 5 d^{6}$

Raise $- 8$ to the power of $2$ .

$64 c^{0} \cdot 5 d^{6}$

Anything raised to $0$ is $1$ .

$64 \cdot 1 \cdot 5 d^{6}$

Multiply $64$ by $1$ .

$64 \cdot 5 d^{6}$

Multiply $64$ by $5$ .

$320 d^{6}$