Skill: Evaluate powers with whole-number bases

Explanation and Free Practice Resources

Powers represent repeated multiplication: the base is the factor being multiplied, and the whole-number exponent indicates how many factors occur, so expressions such as $4^3$ are evaluated as $4 \times 4 \times 4=64$ . This understanding includes powers of 10 and the convention $a^0=1$ for nonzero whole-number $a$ , while distinguishing the base from the exponent; negative or fractional exponents and other more advanced extensions are not included.

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Detailed Explanation: Evaluate powers with whole-number bases

A power shows repeated multiplication.

In $4^3$ :

$4$ is the base, so it is the factor being multiplied.
$3$ is the exponent, so there are three factors of $4$ .

To evaluate $4^3$ :

4^3=4\times4\times4

Multiply from left to right:

4\times4=16

16\times4=64

Therefore,

\boxed{4^3=64}

Remember: the exponent tells how many times the base appears as a factor. Also, for any nonzero whole number $a$ , $a^0=1$ .

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