Question

When you multiply expressions with the same base, you ______ the exponents. Add multiply

Answer 1

Answer: Add

Step-by-step explanation: When you multiply expression with the same base you ADD the exponents. The exponent tells you how many times you multiply the base by itself. This means the exponent corresponds to the amount of base replications. If you add the exponents you are adding the replications of the base.

Answer 2

... you add the exponents

Explanation:

An exponent is a way of showing repeated multiplication. For example, ...

x^2 means x·x

and

x^3 means x·x·x

If we multiply these two expressions together, we get ...

(x^2)·(x^3) = (x·x)·(x·x·x) = x·x·x·x·x

This is a product in which x appears as a factor 5 times, so we can write it using an exponent as ...

x·x·x·x·x = x^5

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That is, when we multiply the expressions, we add the numbers of times the factor appears in the product:

2 + 3 = 5

x^2 · x^3 = x^(2+3) = x^5