Question

Which is equivalent to the expression?

Answer 1

Answer:

Step-by-step explanation:

1/2(13-5)+(4+8)^2

A. 148

B. 144

C. 20

D. 16

We must follow "PEMDAS" order of operations rules.  Anything inside parentheses must be done first, followed by exponentiation, multiplication and division, and finally additionl and subtraction.

1/2(13-5)+(4+8)^2 has three sets of parentheses enclosing mathematical expressions:  (1/2), (13 - 5) and (4 + 8).  These evaluate to:

                        1/2,       8,               12

and so we now have (1/2)(8) + (12)^2

Exponentiation is next.  We get:  (1/2)(8) + 144

Next is multiplication:                         4      + 144

Last is addition:                                       148

Answer A is correct:  148

8 x 9+4^2-(63/7)

is evaluated in the same way:

8 x 9+4^2-(9), followed by exponentiation:

8*9 + 16 - 9, followed by multiplication:

72 + 16 - 9 = 79 (Answer C)