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Chapter 2: Q66. (page 117)

Evaluate each expression. (Lesson 1 - 2)

42鈰�3鈭�5(6+3)

Short Answer

Expert verified

The value of this expression is 3.

Step by step solution

01

Step 1. Use the order of operations.

The order of operations is the sequence of steps with which we solve any given algebraic expression, order is as follows:

Step 1: Evaluate the expressions inside grouping symbols.

Step 2: Evaluate all powers.

Step 3: Multiply and/or divide in order from left to right.

Step 4: Add and/or subtract in order from left to right.

02

Step 2. Solve the expression.

We are given that the expression42鈰�3鈭�56+3

First, we open the brackets and then solve the indexes as shown:

42鈰�3鈭�56+3=16鈰�3鈭�5鈰�9

03

Step 3. Simplify the expression.

Next, we perform multiplication:

16鈰�3鈭�5鈰�9=48鈭�45

Lastly, we perform subtraction

48鈭�45=3

Thus, the answer is 13.

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