# 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

Thanks.

Default Asked on October 13, 2017 in

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

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
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.

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Thanks.

Brong Answered on October 17, 2017.