8th grade math-exponents

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I can't quite write the problem, so I'll try to explain it as best I can. In exponents and in fractions...
(X/2) to the 3rd power times (X/2) to the 4th power...all over,or divided by, (X/2 to the 3rd power) to the 2nd power.
The book says the answer is X/2 to the 5th power. How is this answer found???? I keep getting X/2 to the 6th power ☹️

  • 8th grade math-exponents -

    it's a lot easier without all those words:

    (x/2)^3 * (x/2)^4
    ----------------------
    ((x/2)^3)^2

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

    Hmmm. Not what you want. I suspect a typo somewhere.

  • 8th grade math-exponents -

    Since they are all the same, let x represent x/2. Online "^" is used to indicate an exponent, e.g., x^2 = x squared

    (x^3 * x^4)/(x^3)^2

    When multiplying/dividing, exponents are added/subtracted respectively.

    (x^3 * x^4) = x^7

    (x^3)^2 = x^6

    Do you have typos?

  • 8th grade math-exponents -

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

    How do you get X/2^5????

  • 8th grade math-exponents -

    I don't. I still get:

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

    If you do not have a typo, there might be a typo in the text answers. Ask your teacher.

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