4
advanced-math

Calculate the value of y=100(0.5)3y = 100(0.5)^3.

A

12.5

B

25

C

50

D

150

Correct Answer: A

Choice A is the correct answer. Perform the exponentiation first.

  1. Exponent: (0.5)3=0.5×0.5×0.5=0.125(0.5)^3 = 0.5 \times 0.5 \times 0.5 = 0.125.
  2. Multiply: 100×0.125=12.5100 \times 0.125 = 12.5.

💡 Strategic Tip:0.50.5 is 1/21/2. (1/2)3=1/8(1/2)^3 = 1/8. 100/8=12.5100/8 = 12.5.

Choice B is incorrect because it represents 2 half-lives (1005025100 \to 50 \to 25). Choice C is incorrect because it represents 1 half-life.