Evaluate Integers with Exponents

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Evaluate Integer Exponents: Learn

An exponent is a number that tells how many times the base number is used as a factor. For example, 3⁴ indicates that the base number 3 is used as a factor 4 times. To determine the value of 3⁴, multiply 3*3*3*3 = 81.

If a negative number is raised to an even power, the result will be positive.

(-2)⁴ = -2 * -2 * -2 * -2 = 16

If a negative number is raised to an odd power, the result will be negative.

(-2)⁵ = -2 * -2 * -2 * -2 * -2 = -32

However! You might remember from the order of operations that exponents have a higher importance than subtraction. The negative number must be enclosed by parentheses to have the exponent apply to the negative. The examples below show the difference:

(-2)⁴ = -2 * -2 * -2 * -2 = 16
-2⁴ = -(2 * 2 * 2 * 2) = -16

Integer Exponents: Practice

Determine the value of the exponential expression.

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