Question

1. which expression is equivalent to \the second power of (8 - 3)\?

a. $5^3$
b. $2(8 - 3)$
c. $8^3$
d. $5^2$

Explanation:

Step1: Calculate \(8 - 3\)

First, we simplify the expression inside the parentheses. \(8 - 3 = 5\).

Step2: Find the second power of the result

The second power of a number \(x\) is \(x^2\). So, the second power of \((8 - 3)\) (which is \(5\)) is \(5^2\). Now let's check the options:

• Option A: \(5^3\) is the third power of \(5\), not the second.
• Option B: \(2(8 - 3)=2\times5 = 10\), which is not the second power of \((8 - 3)\).
• Option C: \(8^3\) is the third power of \(8\), not related.
• Option D: \(5^2\) is the second power of \(5\) (and \(5 = 8 - 3\)), so this is the correct expression.

Answer:

D. \(5^2\)