5/27/22, 3:30 AM Power Rule
Rules of Exponents:
Power Rule
The power rule is about a base raised to a power, all raised to another power. What does this
mean? This means everything raised to the interior exponent is then multiplied together the
number of times of the exterior exponent.
Example:
4
3 (3⋅4) 12
(2 ) = 2 = 2
0::23 1x
Video Source (08:23 mins) | Transcript
Things to remember: with the power rule, the powers multiply. Everything within the parentheses
is affected by the power.
Additional Resources
Khan Academy: Exponent Properties 3 (02:34 mins, Transcript)
Khan Academy: Exponent Properties with parentheses (05:57 mins, Transcript)
Practice Problems
Simplify the following expressions:
1. (xm)n
https://content.byui.edu/file/b8b83119-9acc-4a7b-bc84-efacf9043998/1/Math-1-10-4.html 1/2
Rules of Exponents:
Power Rule
The power rule is about a base raised to a power, all raised to another power. What does this
mean? This means everything raised to the interior exponent is then multiplied together the
number of times of the exterior exponent.
Example:
4
3 (3⋅4) 12
(2 ) = 2 = 2
0::23 1x
Video Source (08:23 mins) | Transcript
Things to remember: with the power rule, the powers multiply. Everything within the parentheses
is affected by the power.
Additional Resources
Khan Academy: Exponent Properties 3 (02:34 mins, Transcript)
Khan Academy: Exponent Properties with parentheses (05:57 mins, Transcript)
Practice Problems
Simplify the following expressions:
1. (xm)n
https://content.byui.edu/file/b8b83119-9acc-4a7b-bc84-efacf9043998/1/Math-1-10-4.html 1/2