Question

evaluate each expression.

1. $(-5)^2 - 3$
2. $3 - 4 \times -3$

Explanation:

Problem 20: $(-5)^2 - 3$

Step1: Calculate the exponent

First, we calculate $(-5)^2$. By the definition of exponents, $(-5)^2 = (-5) \times (-5) = 25$.

Step2: Subtract 3 from the result

Now, we subtract 3 from 25: $25 - 3 = 22$.

Step1: Perform the multiplication

First, we calculate $4 \times (-3) = -12$. But since there is a negative sign in front of the 4×(-3), we have $-4 \times (-3) = 12$ (because the product of two negative numbers is positive).

Step2: Add to 3 (since it's 3 minus a negative, which is 3 plus positive)

Now, we add 3 and 12: $3 + 12 = 15$.

Answer:

22

Problem 22: $3 - 4 \times (-3)$