Question

simplify. express your answer using expon
$(bc^{7}d^{-1})^{-5}$

Explanation:

Step1: Apply power of a product rule

$$(bc^7d^{-1})^{-5} = b^{-5}(c^7)^{-5}(d^{-1})^{-5}$$

Step2: Simplify each exponent term

$$b^{-5}c^{7\times(-5)}d^{(-1)\times(-5)} = b^{-5}c^{-35}d^{5}$$

Step3: Rewrite positive exponents only

$$\frac{d^5}{b^5c^{35}}$$

Answer:

$\frac{d^5}{b^5c^{35}}$