# 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.

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**.

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Thanks.