Exponents Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Compute 262^6.

Solution

  1. 1
    Multiply step by step: 2×2=42 \times 2 = 4, 4×2=84 \times 2 = 8, 8×2=168 \times 2 = 16, 16×2=3216 \times 2 = 32, 32×2=6432 \times 2 = 64.
  2. 2
    So 26=642^6 = 64.

Answer

6464
Powers of 2 grow quickly. Knowing these values is useful throughout mathematics and computer science.

About Exponents

An operation representing repeated multiplication: ana^n means aa multiplied by itself nn times. For example, 23=2×2×2=82^3 = 2 \times 2 \times 2 = 8. Exponents extend to zero, negative, and fractional powers.

Learn more about Exponents →

More Exponents Examples

Example 1 easy

Compute [formula].

Example 2 medium

Simplify [formula].

Example 4 medium

Which is larger, [formula] or [formula]? Compute both to compare.

Example 5 medium

Simplify [formula].

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