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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Rational Exponents

Solve If we deal with the exponents first, we see that the exponent reduces to 1. Hence the answer is 3.

What about ? We can break it up into parts, as 9 = 3 2. Hence the answer is 3.

Rules to know: if n is even, than a is 0, if n is odd, than a can be any real number. To calculate, take either the n th root of a, then raise it to the m th power, or raise a to the m th power and then take the n th root.

Some exponents don’t work out. When the exponent is an even number, the number you are trying to find the root must be even. If the exponent is odd, it can be solved.

Examples with fractional exponents 