Explaination Of Raising Powers To a Power

Explanation Of Raising Powers To A Power

Before we move forward and learn about Raising Powers To A Power be sure you understand the basics. Recommended reading: Exponents.

An abstract example of raising exponents to a power is the following: (Base^Exponent)^{Raised Power Exponent}. Real example: (2²)² = 2^{2 * 2} = 2⁴.
There is no way to combine the sum of two powers with the same base into one expression: 3² + 3⁴ can not be combined or simplified more. The answer is simply the sum: 9 + 81 = 90.
There is no way to combine the difference of two powers with the same base into one expression: 2⁵ - 2² can not be combined or simplified more.The answer is simply the difference: 25 - 4 = 21.

Syntax Example
Expression Can Be Simplified?	Math Expression	Answer
Yes	(2²)³	2^{2 * 3} = 2⁶
No	4⁷ - 4³	4⁷ - 4³
No	3³ + 3³	3³ + 3³
Yes	(5⁵)^-2	5^{5 * -2} = 5^-10