A power of a number represents repeated multiplication of the number.

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### Related standards

- This standard is part of: 8.14

#### More specific sub-standards

For example, (–5)⁴ means (–5) · (–5) · (–5) ∙ (−5). The base is the number that is multiplied, and the exponent represents the number of times the base is used as a factor. In this example, (–5) is the base, and 4 is the exponent. The product is 625. Notice that the base appears inside the grouping symbols. The meaning changes with the removal of the grouping symbols. For example, –54 means 5 ∙ 5 ∙ 5 ∙ 5 negated which results in a product of -625. The expression – (5)⁴ means to take the opposite of 5 ∙ 5 ∙ 5 ∙ 5 which is -625. Students should be exposed to all three representations.

#### Similar standards in other grades

Determine the square root of a perfect square less than or equal to 400.

Any number, except zero, raised to the zero power is 1. Zero to the zero power (0⁰) is undefined.

The power of a number represents repeated multiplication of the number (e.g., 8³ = 8 · 8 · 8). The base is the number that is multiplied, and the exponent represents the number of times the base is used as a factor. In the example, 8 is the base, and 3 is the exponent.