Question

test information
description
instructions
multiple attempts this test allows multiple attempts.
force completion this test can be saved and resumed later.
your answers are saved automatically.
question completion status:
moving to another question will save this response.
question 9
let a and b be positive numbers. then ((a - b)^x = a^x - b^x).
true
false
moving to another question will save this response.

Explanation:

Step1: Recall exponent rules

The formula \((a - b)^x\) does not generally equal \(a^x - b^x\) by the rules of exponents. For example, take \(a = 4\), \(b = 2\), and \(x = 2\).

Step2: Calculate both sides

Left side: \((4 - 2)^2 = 2^2 = 4\).
Right side: \(4^2 - 2^2 = 16 - 4 = 12\).
Since \(4
eq12\), the statement is false.

Answer:

False