Question

Explain the difference between (-10)2 and -102. What are the values of each expression?

Answer 1

The difference between (-10)^2 and -10^2 is the placement of the negative sign and exponent. (-10)^2 equals 100, and -10^2 equals -100.

Step-by-step explanation:

The difference between (-10)^2 and -10^2 lies in the placement of the negative sign and exponent. In (-10)^2, the negative sign is inside the parentheses, while in -10^2, the negative sign is outside the exponent. Let's calculate the values of each expression:

1. (-10)^2 = (-10) x (-10) = 100
2. -10^2 = -(10 x 10) = -100

So, (-10)^2 has a value of 100, and -10^2 has a value of -100.