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10 March, 10:04

1. If 28^3*32^n=28^3, what is n? How do you know?

2. If 30^x*30^5=30^20, what is x? How do you know?

3. If a^m*a^3=1/a^2, what is a? How do you know?

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Answers (1)
  1. 10 March, 12:40
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    1. n=0 2. x = 15 and 3. m = - 5

    Step-by-step explanation:

    1. 28^3*32^n = 28^3

    Divide both sides by 28^3:-

    32^n = 1

    n = 0 (any number to the power 0 = 1)

    2. 30^x * 30^5 = 30^20

    divide both sides by 30^5

    30^x = 30^15

    because the 2 bases are the same (both = 390) we have:-

    x = 15

    3. a^m * a^3 = 1 / a^2

    a^m * a^3 = a^-2

    Divide both sides by a*3

    a^m = a^-5

    so m = - 5
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