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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Exponents and Polynomials

## Laws of Exponents

For m, n ∈ { natural numbers}

1. a mÂ·a n = a m + n

2. 3. 4. a 0 = 1    Note: The result of raising any base to the 0 exponent will always be 1. (a ≠ 0)

5. (a m ) n= a mÂ·n

6. (aÂ·b)n = anÂ·bn

7. 8. [The nth root of a -- the index is the denominator.]

9. [The nth root of the power a m -- the index is the denominator.]

Note: The alternative approach to # 2 (division of powers) would have you subtract the smaller from the larger and place the resulting power in the position of the larger.

Under suitable conditions the exponents can be any rational number.