8th Grade Math-exponents

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Let me try writing it again...
(X/2)^3*(X/2)^4
---------------------
(X/2^3)^2

I keep getting X/2^6, but the book says X/2^5. How do you get X/2^5????

  • 8th Grade Math-exponents -

    You keep the base and add the exponents

    in the numerator

    (x/2)^7

    in the denominator it looks like you are raising a power to a power..

    so you keep the base and multiply the two powers

    denominator should be (x/2)^6

    I don't know where the 5 is coming from in your answer... unless I am not understanding what the problem actually said or maybe you have a typo.

    My answer would be x/2 because 7 -6 = power of 1.

  • 8th Grade Math-exponents -

    Thank you!! It must be a typo in the book. Singapore Math. I appreciate all of your help!!

  • 8th Grade Math-exponents -

    books have been know to be wrong, as do most teachers and students.

    from the way you typed it, the simplified answer is

    (x/2)^7 / (x/2)^6
    = x/2

    John1's explanation is correct

  • 8th Grade Math-exponents -

    Thank you!! It must be a typo in the book. Singapore Math. I appreciate all of your help!!

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