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Trying to learn basic math again

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Most square roots are not integers because only some integers are the square of other integers.
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Square root of 576 is 24 because 24x24=24^2 =576. With square roots, you are asking what number multiplied BY ITSELF gives me the thing under the radical? Going further, cube roots you would ask what number multiplied by itself 3 times gives me the thing under the radical? So, the cube root of 8 is 2 since 2x2x2=2^3 = 8. You can extend this idea to any nth root.
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Inverted exponents are called fractional exponents. The reciprocal of the exponent is the root.

2^2 = 4

4^1/2 = 2

5^2 = 25

25^1/2 = 5

4^3 = 64

64^1/3 = 4
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So exponents are different than square roots. Let me tell you why when you take a square root it is always like this: square root = a number times itself one time like 1^2=1 (1x1), 2^2=4(2x2), 3^2=9(3x3)

An exponent is that little number that a number is raised to so for instance with this: 4^2(4 squared) The 2 there is an exponent. But with exponents it can be any number. For instance with 10 to the 10th power (exponent) would be 10 X itself 10 times

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