Power of a Power
Properly stated, this rule should really be called the 'Exponent of a Power Rule'. (Recall the information about terminology from the 'Simple Powers' page you began on).
It's the third exponent rule, and it works like this:

Here's a power with an exponent on it: (52)3
This question really means this ... 52 x 52 x 52
Using the Product Rule, we know the answer is 56

Can you see the shortcut? (52)3 = 56
Exponents separated by a bracket can be multiplied!

Here's another one:
(23)4 = 212
This is an easy rule to use!


The Power of a Power Rule says:
"When a power has an exponent on it, (there are two exponents
separated by a bracket), you keep the base and multiply the exponents".




Here are a few questions for you to try on your own. Again, when your mouse pointer is placed over the correct answer, it will tell you.
We still aren't using final answers, just the answer to the rule!

Find the answer:










Were you able to answer these questions correctly?
If yes, then you're ready to try another page.

Next is the 'Zero Exponent'


Powers Introduction
Simple Powers | Product Rule | Quotient Rule | Power Rule
Zero Exponent | Negative Exponents


Main Page