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When multiplying exponents with the same base add them: x^3*x^2 = x^5

When dividing exponents with the same base subtract them: x^3/x^2 = x^1 or x

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Q: How do you simplify exponents or powers in algebra?
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What is the history of exponents In Algebra?

Exponents are the expodential growth in something.

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The product rule says when multiplying two powers that have the same base, you can add the exponents. There are product rules used in calculus to find the product of derivatives, but that does not really have to do with exponents.The above answer translates to the following Algebra rule:xm * xn = xm+nHere is an example:x5 * x2 = x5+2 = x7

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