Question

(01.02 MC)

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Which of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared.?


Select one:

a. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 1 squared over 4 squared. = 1 over 6.


b. 3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 0 over 4 squared. = 0



c. 3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 0 over 4 squared. = 0



d. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.

Answer 1

d. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.

Explanation:

This is an exercise in PEMDAS, the order of arithmetic operation:

parentheses > exponents > multiplication and division > addition and subtraction.

[(3² × 5⁰)/4]² = [(9 × 1)/4]² = (9/4)² = 81/16

3⁴ × 1²/4² = 81 × 1/16 = 81/16

a. is wrong. 3¹ × 1²/4² = 3 × 1/16 = 3/16

b. is wrong. [(3² × 0)/4]² = [(9 × 0)/4]² = (0/4)² = 0² = 0

c. is wrong. [(3² × 0)/4]² = 0