How To Simplify Exponential Expressions With The Same Base – Exponent Rules Explained

In order for exponent rules to apply, they must have

the same base

The same base.

Exponent rules apply when two exponential expressions have the same base. These rules allow us to manipulate and simplify exponential expressions by applying mathematical operations such as addition, subtraction, multiplication, and division. For example, if we have the expressions 2^3 and 2^5, we can use the exponent rule for multiplication to find their product as follows:

2^3 x 2^5 = 2^(3+5) = 2^8

Without the same base, we cannot simplify the expression using exponent rules.

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