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Chapter 1: Q4A. (page 11)

Evaluate each expression if a=2, b=6and c=4.

a23b+5梅c

Short Answer

Expert verified

The value of the expression a2(3b+5)梅cis 23.

Step by step solution

01

Step 1. Evaluation of algebraic expression.

To evaluate an expression with different operations, an order needs to be followed. The order is first we open the parenthesis then solve exponents then multiply and/or divide then finally add and/or subtract.

02

Step 2. Replace the variables.

Substitute 2 for a, 6 for b, and 4 for c into the equation a23b+5梅c.

a23b+5梅c=223鈰�6+5梅4

03

Step 3. Apply the order of operations.

As per the order of operations, first, evaluate the expressions inside the bracket.

a23b+5梅c=2218+5梅4=22鈰�23梅4=4鈰�23梅4=92梅4=23

Therefore, the expression is equal to 23.

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