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Is there an addition, subtraction, multiplication and division formula for different indices with the same base?
See Baidu Encyclopedia for details ~

Same base power multiplication

(1) same base power, same base, exponential addition: a m× a n = a (m+n)) (both m and n are positive integers).

For example, a 5 A 2 = A (5+2) = A 7.

(If it is not the same radix, it should be changed to the same radix first. Pay attention to the symbols. )

(2) 1 homology power refers to homology power.

For example, (-2) is quadratic and (-2) is quintic.

Same base power division

Division with the same base, constant base, exponential subtraction: a m ÷ a n = a (m-n) (m and n are integers, a≠0).

For example, A 5 ÷ A 2 = A (5-2) = A 3, which means that A M is the M power of A, A N N is the N power of A, and A (m+n) is the m+n power of A,

Same base power division

A (m-n) is the m-n power of a.

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