Question

What is the value of this expression when p=3 and q=−9?

(p^−5⋅p^−4⋅q^3)^0
(a) 1
(b) 0
(c) 3
(d) -9

Answer 1

The value of the expression when p=3 and q=−9 is 1, as anything raised to the power of zero is always equal to 1.

Step-by-step explanation:

The value of the expression (p^-5 \cdot p^-4 \cdot q^3)^0 when p=3 and q=−9 is determined by understanding the mathematical rule that anything raised to the power of zero is equal to 1. This is a fundamental principle in algebra and applies regardless of the values of p and q. Therefore, without needing to substitute the values of p and q or simplify the expression within the parenthesis, the answer is simply 1.