Question

which expression shows 2·2·2·2·2·2 written as a power? 6·2 6² 2⁶ 2·6

Explanation:

Step1: Recall exponent definition

A power is \(a^n\) where \(a\) is base, \(n\) is exponent (number of times \(a\) multiplies itself).
Here, base \(a = 2\), multiplied 6 times.

Step2: Match with options

• \(6\cdot2\): Multiplication, not power.
• \(6^2\): Base 6, exponent 2 (6×6), wrong.
• \(2^6\): Base 2, exponent 6 (2×2×2×2×2×2), correct.
• \(2\cdot6\): Multiplication, not power.

Answer:

\(2^6\) (the third option: \(2^6\))