Advanced Math practice question

Answer: A. 4 · 4ˣ

Adding exponents corresponds to multiplying powers: 4ˣ⁺¹ = 4ˣ · 4¹ = 4 · 4ˣ. Check x = 1: 4² = 16 and 4 · 4 = 16.

Why the other answers are wrong

B. 4ˣ + 4

4ˣ + 4 ADDS 4 instead of multiplying by it. At x = 1: 8, not 16.

C. 4ˣ + 1

4ˣ + 1 adds 1 to the power; the +1 in the exponent means 'times 4'. At x = 1: 5, not 16.

D. 16ˣ

16ˣ = (4²)ˣ = 4²ˣ, which doubles the exponent rather than adding 1. At x = 1: 16 — but at x = 2: 256, while 4³ = 64.

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