Exercise 40 Page 53

According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!

For the given expression, we first perform the operations in the parentheses before finally finding the product.

4* (25* 3^2) Notice also that even within this parenthetical expression, we must follow the order of operations. This means evaluating the exponent expression first before finding the product. 25* 3^2 Let's do it!

Operation	Before Simplification	After Simplification
Calculate Power	4* (25* 3^2)	4* (25* 9)
Multiply	4* ( 25* 9)	4* 225
Multiply	4* 225	900

The expression is equal to 900.

Alternative Solution

Using a Calculator

We can also evaluate this expression using a calculator. To do so, we type it as shown below.