Solve the following and find out the answer for ((x6)3 * (x5)6)/ (x3).

I have a problems on GMAT, My questions is –

Solve the following and find out the answer for ((x6)3 * (x5)6)/ (x3).

Here are my answers option, Which one is correct?
a. X5
b. X6
c. X40
d. X45
e. None of the above

Please help me by salving this GMAT Questions.
Thanks.

Default Asked on October 13, 2017 in GMAT.
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1 Answer(s)

    Thanks for your questions. Your problem was –

    Solve the following and find out the answer for ((x6)3 * (x5)6)/ (x3).

    Your Correct answer is option:d

    Let’s we see that how is your correct answer option d?
    I’m trying to solve your problem and explain in details.  now let’s see –

    Details Explanation:
    According to the basic rules of exponents, we multiply the exponents when powers are
    raised to powers……….i
    When we multiply the exponents having the same base, then in that case we add the
    exponents and not multiply………….ii
    When we divide the powers having the same base, then in that case we subtract the
    exponents and not multiply………….iii
    In this problem, we have to make use of all these three properties in order to get the
    correct answer to the question.
    First comes the multiplication of the exponents with the same base: ((x6)3 * (x5)6)
    ∴ ((x6)3 * (x5)6) = x6*3 * x5*6 = x18 * x30 = x18+30 = x48
    Now we will solve the division part i.e. x48/x3 = x 48-3 = x45.
    Hence, the correct answer is option d.

    Hope you can understand easily. If this is useful for you, then share to your friends on facebook, twitter and google plus. and visit from my website Knowledge World

    Thanks.

    Brong Answered on October 17, 2017.
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