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
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
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
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Any questions about properties of exponents? Let me know.
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