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13 August, 23:11

100a*1000b can be written in the form 10w. Show that w=2a+3b

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Answers (2)
  1. 13 August, 23:21
    0
    100^a x 1000^b

    = (10^2) ^a x (10^3) ^b

    By the laws of exponents, (x^a) ^b = x^ab

    = (10^2a) x (10^3b)

    Also, since x^a * x^b = x^ (a+b)

    =10^ (2a+3b)

    If this is in the form 10^w,

    w = 2a+3b
  2. 13 August, 23:31
    0
    I was wondering, what exactly is this topic called?
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