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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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Rules for Integral Exponents

In the next example we use the power rules with negative exponents.

Example

The power rules for integral exponents

Simplify each expression. Write your answers with positive exponents only. Assume that all variables represent nonzero real numbers.

Solution

 a) (a-3)2 = a-3 Â· 2= a -6 Power rule  Definition of negative exponent
 b) (10x -3) -2 = 10 -2(x -3)-2= 10 -2x (-3)(-2) Power of a product rulePower rule Definition of negative exponent
 c) Power of a quotient rulePower of a product rule and power rule Because Definition of negative exponent Simplify