Indices Rules 2

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Slide 1 : Negative Index x-a = 1/xa Examples: n-1 = 1/n 3-2 = 1/32 = 1/9 (½)-3 =1/(13/ 23) = 23 = 8

Slide 2 : Zero Index x0 = 1 Examples: 20 = 1 (-6)0 = 1 40 = 1 -80 = -1 Raise to the zero power first: 80=1 then take the negative. Note: 00 = undefined

Slide 3 : Fractional Index Examples: x1/2 = vx 271/3 = cubed root 27 = 3 xm/n = What is 43/2 ? Answer: 43/2 = 43×(1/2) = v(43) = v(4×4×4) = v(64) = 8

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