Move to the denominator using the negative exponent rule .

Move .

Use the power rule to combine exponents.

Add and .

Move to the numerator using the negative exponent rule .

Move .

Use the power rule to combine exponents.

Add and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Change the sign of the exponent by rewriting the base as its reciprocal.

Simplify ((10c^-7d^5)/(5c^2d^-3))^-1