What is 1.05 to the power of 2?

What is 1.05 to the power of 2?

Approach: Use (1 + x)^2 = 1 + 2x + x^2.

1.1025. 1 + 0.10 + 0.0025 = 1.1025.

Follow-up: Estimate 1.05 cubed.

Key concepts: algebraic expansion.