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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