• 2014 April(71H) Math Question 3

    Exponents, Radicals, & Scientific Notation

    - Exponent Expressions

    Choice D
    Rule name Rule Example
    Product rules a n ⋅ a m = a n+m 23 ⋅ 24 = 23+4 = 128
    a n ⋅ b n = (a ⋅ b) n 32 ⋅ 42 = (3⋅4)2 = 144
    Quotient rules a n / a m = a n–m 25 / 23 = 25-3 = 4
    a n / b n = (a / b) n 43 / 23 = (4/2)3 = 8
    Power rules (bn)m = bn⋅m (23)2 = 23⋅2 = 64
    bnm = b(nm) 232 = 2(32)= 512
    m√(bn) = b n/m 2√(26) = 26/2 = 8
    b1/n = n√b 81/3 = 3√8 = 2
    Negative exponents b-n = 1 / bn 2-3 = 1/23 = 0.125
    Zero rules b0 = 1 50 = 1
    0n = 0 , for n>0 05 = 0
    One rules b1 = b 51 = 5
    1n = 1 15 = 1
    Minus one rule (-1)n = -1 , n odd v
    (-1)n = 1 , n even    		 (-1)5 = -1
    Derivative rule (xn)‘ = n⋅x n-1 (x3)‘ = 3⋅x3-1
    Integral rule ∫ xndx = xn+1/(n+1)+C ∫ x2dx = x2+1/(2+1)+C

    4b8⋅5b3 = 4⋅5⋅b8+3=20b11

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