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Chapter 1: Q4. (page 18)

4. Evaluate a3+b9-c if a=-2,b=13, and c=-12

Short Answer

Expert verified

Expression a3+b9-c results into -1

Step by step solution

01

- Order for simplification 

To evaluate any expression involving more than one operation, follow the below order of operations:

  • First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
  • Evaluate the exponents.
  • Perform Multiplication and division from left to right.
  • Perform addition and subtraction from left to right.
02

- Substitution

Substitute -2for a, 13for b, and -12for c in given expression.

a3+b9-c=-23+139--12

03

- Simplify expression inside grouping symbol

To evaluate the value of the given expression, first simplify parentheses as shown below

鈭�23+139鈭�鈭�12=鈭�8+139+12=鈭�8+1321=鈭�8+7

04

- Add -8 with 7

Now, to simplify further add the numbers to get,

-8+7=-1

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