Exponent question? Please help math experts!!!!!!?

Please help me solve this problem!!! I really don't get it... Please explain thoroughly and step by step

Marcel now has to simplify (8^3/2^5)^2. Explain how 8^3 can be rewritten using the base 2. Then explain how to apply the laws of exponents to simply marcel's expression.

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  • 9 years ago
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    8 = 2^3

    so 8^3 = (2^3)^3 = 2^9

    when you have the same base and are dividing, just subtract the exponents:

    (2^9) / (2^5) = 2^(9-5) = 2^4

    now you have (2^4)^2 = 2^8

    you've used two basic rules:

    1) a^m / a^n = a^(m-n)

    2) (a^m)^n = a^(mn)

    that's it! ;)

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