w^12/w^18

A. w^30***
B. w^-30
C. w^6
D. w^-6
A?

A is not the correct answer.

I hope this helps! :)

How come?

A is not the correct answer because when dealing with dividing like bases, you subtract the exponents.

Therefore, 12 - 18 equals a negative exponent.

I hope this helps you understand! :)

Oh, now I get it is the answer D?

Thanks a bunch

Yes, D is the correct answer.

And you're welcome.

To simplify the expression w^12 / w^18, you can use the exponent property that states: when dividing two numbers with the same base, subtract the exponents.

In this case, the base is the variable w, and the exponents are 12 and 18. Therefore, you subtract the exponent of w in the denominator from the exponent of w in the numerator:

w^12 / w^18 = w^(12 - 18)

Simplifying the exponent, we have:

w^12 / w^18 = w^(-6)

So, the correct answer is option D. w^-6.