Question

Simplify the following expression. ((a^(4)x^(y))/(c^(k-2)))^(b)

Answer 1

To simplify the expression, apply the power rule to raise each factor inside the parentheses by the power of b, resulting in (a^4b)x^(yb))/(c^(k-2)^b). This is the final simplified expression.

Step-by-step explanation:

To simplify the given expression ((a^4xy)/ck-2)^b, we need to apply the power rule for exponents, which states that when raising a power to another power, you multiply the exponents. Here's the step-by-step simplification:

1. Raise each factor inside the parentheses by the power of b: a^4b, xyb, c(k-2)^b.
2. Write the expression as a single power for each base: (a^4bxy^b)/(c(k-2)^b).

Therefore, a simplified expression is (a^4bxy^b)/(c(k-2)^b).