Math Basics

More About Numbers

How can we simplify various expressions using exponents?

The following are ways to solve simple mathematical expressions with the same base:

To multiply two numbers with different exponents, add the exponents:
(x2)(x4) = (xx)(xxxx) = xxxxxx = x2+4 = x6

To raise a number with a power, multiply the exponents:
(x3)3 = (x3)(x3)(x3) = (xxx)(xxx)(xxx) = xxxxxxxxx = x(3x3) = x9


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