10.3: rational exponents April 27, 2009. Objectives 1.Define rational exponents 2.Simplify expressions that contain rational exponents 3.Estimate the.
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Objectives
1. Define rational exponents2. Simplify expressions that contain rational
exponents3. Estimate the value of an expression using a
calculator4. Write expressions in radical or exponential
form, interchangeably
Rational numbers as exponents• Rational numbers are also called:• Consider:
a = 91/2
what would you do to both sides?(a)2=(91/2)2
a2 = 9a=3
So…3=91/2
Fractions!
Rules for rational exponents
a1/n = n√aam/n = n√am
Remember these previously discussed rules:am *an = am+n
am /an = am-n
(am)n = am*n
(ab)m = am*bm
(a/b)m = am/bm
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