Simplify ((c^2d^-2)/c)^5

${(\frac{c^{2} d^{- 2}}{c})}^{5}$

Move $d^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

${(\frac{c^{2}}{c d^{2}})}^{5}$

Cancel the common factor of $c^{2}$ and $c$ .

Factor $c$ out of $c^{2}$ .

${(\frac{c \cdot c}{c d^{2}})}^{5}$

Cancel the common factors.

Factor $c$ out of $c d^{2}$ .

${(\frac{c \cdot c}{c (d^{2})})}^{5}$

Cancel the common factor.

${(\frac{c \cdot c}{c d^{2}})}^{5}$

Rewrite the expression.

${(\frac{c}{d^{2}})}^{5}$

Apply basic rules of exponents.

Apply the product rule to $\frac{c}{d^{2}}$ .

$\frac{c^{5}}{{(d^{2})}^{5}}$

Multiply the exponents in ${(d^{2})}^{5}$ .

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

$\frac{c^{5}}{d^{2 \cdot 5}}$

Multiply $2$ by $5$ .

$\frac{c^{5}}{d^{10}}$