i dont get this question ( Contrast roles of the coefficients and exponents when multiplying and dividing terms.)

Question

kropot72 · Answer

An example might help you. What actions do you take with the coefficients of the terms and with the exponents in this product:
$$\large 3y ^{2} \times 7y ^{5}=\ ?$$

anonymous · Answer

you combine like terms

kropot72 · Answer

So to find the product, what operation do you do to the coefficients 3 and 7, that is do you add, divide or multiply.

anonymous · Answer

add

anonymous · Answer

right?

kropot72 · Answer

Not really. What is the result of:
$$\large 3\times7=\ ?$$

anonymous · Answer

21

kropot72 · Answer

Correct. So that is what we do to the coefficients 3 and 7 of
$$\large 3y ^{2} \times 7y ^{5}$$

anonymous · Answer

oh i get it its the exponent i add right

anonymous · Answer

21^7 ?

kropot72 · Answer

What happened to y?

anonymous · Answer

idk the comment left when i was trying to answer it

anonymous · Answer

i thought you deleted it or something

anonymous · Answer

well it would have been 4 and then id have to minus the exponents ?

kropot72 · Answer

Sorry. I want to finish multiplication first. So in your result 21^7 what happened to y.

anonymous · Answer

oh yeah 21y^7

kropot72 · Answer

Correct! Now lets look at division of terms. What do you do to coefficients and to exponents in:
$$\large \frac{16x ^{6}}{4x ^{2}}$$

anonymous · Answer

so You add the exponents when its multiplying and minus when its dividing ? and 4x^4

kropot72 · Answer

You are correct. Can you answer the question that you posted now?

anonymous · Answer

yes thank you :) can you help me with another one?

kropot72 · Answer

Sorry, I have to log out now. Please post the other question as a new one.