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Today’s Agenda Quiz 7.5 Rational Numbers as Exponents

Comparison Activity 3 8 2 3 8 2 4 2 ( 4 ) 2

Combining Roots and Powers 𝑘 𝑥 𝑚 = 𝑘 𝑥 𝑚 3 27 2 = 2 8 4 =

Review Problems 3 8 2 = 6𝑦 3 = 4 81 3 = 3 (8𝑥 3 ) 2 =

Powers as Fractions Roots are the denominator Powers are the numerator 𝑥 = 𝑥 1 2 3 𝑥 2 = 𝑥 2 3 7 𝑥 5 = 𝑥 5 7 If the fraction is greater than one, you can simplify. 3 𝑥 5 =

Write without rational exponents 𝑦 1 4 = (3a ) 1 4 = 16 1 4 = 7 1 2 =

Write with rational exponents 4 𝑎 3 𝑏 2 𝑐 5 3𝑥 5 𝑥 2 𝑦 16

Write with rational exponents ( 3 7𝑎𝑏𝑐 ) 4 5 6 7 4 𝑥 2 𝑦 3

Negative Rational Exponents 𝑎 −1 2 = 4 −1 2 =

Negative Rational Exponents 5 −1 4 = (3𝑥𝑦) −7 8 = 16 −3 4 =

Properties of Exponents 7 1 3 × 7 3 5 5 7 6 5 5 6 ( 9 3 5 ) 2 3

Homework 7.5 pg 315 #3 – 75 multiples of 3