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.

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### Related standards

- This standard is part of: 6.6

#### Similar standards in other grades

Any real number raised to the zero power is 1. The only exception to this rule is zero itself. Zero raised to the zero power is undefined.

The square root of a whole number that is not a perfect square is an irrational number (e.g., √2 is an irrational number). An irrational number cannot be expressed exactly as a fraction 𝑎/𝑏 where 𝑏 does not equal 0.

Identify the perfect squares from 0 to 400. (d)

A number written in scientific notation is the product of two factors — a decimal greater than or equal to 1 but less than 10, and a power of 10 (e.g., 3.1 x 10⁵= 310,000 and 2.85 x 10-⁴ = 0.000285).

Students can use grid paper and estimation to determine what is needed to build a perfect square. The square root of a positive number is usually defined as the side length of a square with the area equal to the given number. If it is not a perfect square, the area provides a means for estimation.