4
advanced-math

Evaluate f(x)=10(2)xf(x) = 10(2)^x for x=4x=4.

A

80

B

160

C

20

D

10000

Correct Answer: B

Choice B is the correct answer. Substitute and calculate.

  1. Substitute: f(4)=10(2)4f(4) = 10(2)^4.
  2. Exponentiate: 24=162^4 = 16.
  3. Multiply: 10×16=16010 \times 16 = 160.

💡 Strategic Tip:242^4 is 2×2×2×2=162 \times 2 \times 2 \times 2 = 16. Don't do 10×210 \times 2 first.

Choice A is incorrect because it calculates 10×810 \times 8 (232^3). Choice C is incorrect because it calculates 10×210 \times 2. Choice D is incorrect because it calculates (10×2)4(10 \times 2)^4 or 10410^4.