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Chapter 1: Q11. (page 8)

Evaluate each expression if x=4,y=鈭�2,and z=6

x+y-13

Short Answer

Expert verified

Expressionx+y-13 results into -23.

Step by step solution

01

- Order of 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

- Substitute given values

Simplify parentheses by subtracting 1 from y.

Simplify power and then add resultant with x.

Substitute 4 forx and-2 fory into given expression

x+y鈭�13=4+鈭�2鈭�13

03

- Simplify 4+-2-13

Follow order of simplification

鈭�2鈭�1=鈭�3

Then

鈭�2鈭�13=鈭�33=鈭�27

Finally

4+鈭�27=鈭�23

Thus, x+y鈭�13=鈭�23

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