Exponents Math Example 1

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

Example 1

easy
Compute 535^3.

Solution

  1. 1
    Recognize that the exponent 3 means multiply the base 5 by itself three times.
  2. 2
    Write the base 5 multiplied by itself 3 times: 5×5×55 \times 5 \times 5.
  3. 3
    Compute step by step: 5×5=255 \times 5 = 25, then 25×5=12525 \times 5 = 125.

Answer

125125
An exponent tells you how many times to multiply the base by itself. Here 535^3 means three factors of 5.

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 2 medium

Simplify [formula].

Example 3 easy

Compute [formula].

Example 4 medium

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

Example 5 medium

Simplify [formula].

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