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# Rational Exponents

### Module 12 flash cards of rational exponents

Solve 4^1/2 (Simplify if possible) 4^1/2= √4= 2
Solve 625^1/4 (Simplify if possible) 625^1/4= √625= 5
Use radical notation to solve. 5x^1/2 5x^1/2= 5*(x^1/2)= 5√x
Use radical notation to solve. (36x^4)^1/2 (36x^4)^1/2= √36x^4= 6x^2
Use radical notation to solve. (1/27)^1/3 (deg denotes degree of root) (1/27)^1/3= (deg3)√1/27= 1/3
Use radical notation to solve. (-3125)^1/5 (deg denotes degree of root) (-3125)^1/5= (deg5)√-3125= 5
Make positive exponent. 1/x^-3/5 1/x^-3/5= x^3/5
Use law of exponents to solve. x^2/7 * x^6/7 x^2/7 * x^6/7= x(2/7 +6/7)= x^8/7
Factor 7/2 from expression x^7/2 + x^3/2 x^7/2 + x^3/2= x7/2(1+x^3/2)
Use rational exponents to write as a radical expression. (deg4)√x^3 * (deg2)√x * (deg7)√x (deg4)√x^3 * (deg2)√x * (deg7)√x = x^3/4 + ^1/2 + ^1/7= x^25/28 = (deg28)√x^25
Created by: NickRM