Properties of exponents


We will show 8 properties of exponents. Let x and y be a number not equal to zero and let n and m be any integers



Property #1

x0 = 1

Example: 40 = 1 and (2500000000000000000000)0 = 1

Property #2

xn × xm = xn + m

Example: 46 × 45 = 46 + 5 = 411

Property #3

xn ÷ xm = xn − m

Example: 46 ÷ 45 = 46 − 5 = 41

Property #4

(xn)m = xn × m

(52)4 = 52 × 4 = 58

Property #5

(x × y)n = xn × yn

(6 × 7)5 = 65 × 75

Property #6

x-n = 1 ÷(xn) = 1/(xn)

8-4 = 1 ÷ (84) = 1 / (84)

Property #7

(x/y)n = xn / yn

(8/5)4 = 84 / 54

Property #8

Third root of 27


Any questions about properties of exponents? Let me know.




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