dividing monomials chapter 8-2 s. calahan 2008. to divide two powers that have the same base,...
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Dividing MonomialsChapter 8-2S. Calahan
2008
To divide two powers that have the same base, subtract the exponents.
b15 ÷ b7 = b15-7 = b8
Quotient of Powers
Find the power of the numerator and the power of the denominator.
3 5 = 35 = 243 4 45 1024
Power of a Quotient
Any nonzero number raised to the zero power is 1.
(-0.25)0 = 1
Zero exponent
For any nonzero number a and any integer n, a-n is the reciprocal of an. In addition, the reciprocal of a-n is an.
5-2 = 1 = 1 52 25
Negative Exponents
1. 78 = 78-2 = 76
72 2. 6-2 = 1 = 1 62 36
Examples
3. 15b = 15 b1-5 = 1 45b5 45 3b4
4. 3 -3 = 23 = 8 2 33 27
Examples
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