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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: (2
^{2}
)
^{2}
= 2
^{2 * 2}
= 2
^{4}
.
There is no way to combine the sum of two powers with the same base into one expression: 3
^{2}
+ 3
^{4}
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: 2
^{5}
- 2
^{2}
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
(2
^{2}
)
^{3}
2
^{2 * 3}
= 2
^{6}
No
4
^{7}
- 4
^{3}
4
^{7}
- 4
^{3}
No
3
^{3}
+ 3
^{3}
3
^{3}
+ 3
^{3}
Yes
(5
^{5}
)
^{-2}
5
^{5 * -2}
= 5
^{-10}
See More About Roots Of Numbers