Algebra II 7-4 Rational Exponents

Rational Exponents 𝑛 𝑏 𝑎 = 𝑏 𝑎 𝑛 3 7 7 1 3 7 6 3 6 3 7

Rational Exponent Properties 𝑎 𝑚 ∗ 𝑎 𝑛 = 𝑎 𝑚+𝑛 4 0.25 ∗ 4 0.75 = 4 0.25+0.75 = 4 1 𝑎 𝑚 𝑛 = 𝑎 𝑚∗𝑛 7 3 1 6 = 7 3∗ 1 6 = 7 1 2 𝑎𝑏 𝑚 = 𝑎 𝑚 ∗ 𝑏 𝑚 3∗4 6 = 3 6 ∗ 4 6

Rational Exponent Properties 𝑎 −𝑚 = 1 𝑎 𝑚 10 −3 = 1 10 3 𝑎 𝑚 𝑎 𝑛 = 𝑎 𝑚−𝑛 𝑤 7 𝑤 2 = 𝑤 7−2 = 𝑤 5 𝑎 𝑏 𝑚 = 𝑎 𝑚 𝑏 𝑚 3 8 5 = 3 5 8 5

Simplify 25 − 3 2 25 1 2 −3 25 −3 5 −3 1 5 3 1 125

Simplify 𝑥 − 4 7 7 1 𝑥 4 𝑥 2 3 𝑦 − 1 6 −12 𝑦 2 𝑥 8

iRAT Simplify 6 4 ∗ 6 2 ( 𝑥 7 ) 1 4 4 −2 ∗ 4 −7

Problems Page 388 #2-48 even