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Math Help - Exponent problem

  1. #1
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    Exponent problem

    Which of the following is equal to (1/4) * (20^8)?

    Options:
    5^6
    5^8
    20^2
    4*(20^7)
    5(20^7)

    Sincerely, I'm not able to get any of the results offered...

    Thank you for your help!
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  2. #2
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    Quote Originally Posted by artabro View Post
    Which of the following is equal to (1/4) * (20^8)?

    Options:
    5^6
    5^8
    20^2
    4*(20^7)
    5(20^7)

    Sincerely, I'm not able to get any of the results offered...

    Thank you for your help!

    \frac{20^8}{4}=\frac{(4\cdot 5)^8}{4}=\frac{4^8\cdot 5^8}{4}=4^7\cdot 5^8=5(4^7\cdot 5^7)= ...

    Tonio
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  3. #3
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    You can start by saying 20^8 = (20)^8  = (4\times 5)^8 = 4^8\times 5^8
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