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Exponent Arithmetic

Starting points, what the symbols mean :

Fractional exponents are a way to re present roots :

If w2 = s, then w = s1/2 That is, a 1/2 exp onent is another way to write square root .

The nice thing about exponents is that you can do many calculations without using your
calculator
, and in science we express many quantities as powers of ten .

In multiplication , add exponents when the same number (in the case shown, 10) is raised to a power:

In division, subtract exponents when the same number (in the case shown, 10) is raised to a power:

When raising to a power, multiply. When taking a root, divide as shown below:

Problems for practice:
I have intentionally set up the fol lowing problems so you could solve them without a
calculator if you apply the rules above . Please try solving these in your head or use a piece of paper.
If you use a calculator, you are defeating the purpose of the exercise.

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