Evaluate the cube (third power): Compute 4^3 exactly.

Introduction / Context:Simple powers are foundational: 4^3 means 4 multiplied by itself three times. This reinforces exponent interpretation as repeated multiplication.

Given Data / Assumptions:

• Evaluate 4^3.

Concept / Approach:Use repeated multiplication: 4^3 = 4 * 4 * 4.

Step-by-Step Solution:4 * 4 = 1616 * 4 = 64

Verification / Alternative check:Recognize 2^6 = 64; since 4 = 2^2, (2^2)^3 = 2^6 = 64, consistent.

Why Other Options Are Wrong:81 is 3^4 or 9^2; 12 is 3*4; 49 is 7^2; 16 is 4^2, not 4^3.

Common Pitfalls:Confusing squaring with cubing; ensure three factors of 4.

Final Answer:64