# Laws of Exponents

High School Common Core Number & Quantity The Real Number System Use properties of rational and irrational numbers. Multiply & Divide Radicals Name Subject You can Radical a b = Property multiply (Multiplicationnumbers if 3 2 = they are

) both INSIDE the radicals. Date Period ab= ab 32= 6 Ex1: Simplify

2 5 -4 12 -8 60 -8 4 15 -8 2 15 -16 15 Explain

Multiply numbers on the OUTSIDE of the radical. Multiply numbers on the INSIDE of the radical. Simplify Radical Simplify -3 15 -3 5

9 75 9 25 3 9 5 3 45 3 Simplify

2 6 32 -6 64 -6 8 -48 Simplify 8 3 6 3 48

3 16 3 3 4 3 12 3 Simplify -4 3 -5

20 21 7 Simplify -2 3 5 -10 18 -10 9 2 -10 3

2 -30 2 6 Simplify 7 20 7 100 7 10 70 5 Radical

Property (Division) You can divide numbers if they are both INSIDE the radicals. a = a b

b 15 15 5 = 5 = 3 Ex2: Simplify 6 15 5

20 5 6 Explain Divide numbers INSIDE radicals. Simplify Radicals 3 4 6 3 2 3 3

Divide numbers OUTSIDE radicals. Simplify 2 10 2 32 2 2 5 16 2 2 5 2 4

1 5 2 Simplify 27 9 9 9 3 1 3 Simplify -5 32 2 -5 16 2

2 -5 4 2 2 -20 2 2 -10 2 Simplify 12 3 6 3 3 4 6

1 2 2 2 6 1 3 Simplify 24 3 3 3 8 1 4 2

2 2 Simplify 64 4 25 8 45 4 8 4 20 2 5

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