answer an exponents question that I think should be really easy but can't do!?

<ol>
<li>If t and w are positive numbers and t^8/t^2 =w^2, then w^8/w^2 =
(A) t2 (B) t3 (C) t4 (D) t6 (E) t12</li>
</ol>

<p>my answer key says B!! what answers do you guys get because i can’t seem to figure this out on my own… I think it’s a mistake but I want to be sure. thanks!</p>

<p>oh all the answer choices should have a ^ in the middle</p>

<p>Whichever book it was divided instead of multiplying the answer should be t^(18)</p>

<p>Simplify what you’re given first:</p>

<p>t^6 = w^2</p>

<p>You want to evaluate w^8/w^2, or w^6. Cubing the above equation, w^6 = t^18. Yep, something’s wrong with the question. Did you type the question correctly?</p>

<p>t^24/t^6 is t^18 (subtract exponents)</p>

<p>@KansasGuy, t^24/t^6 is t^(24-6) or t^18.</p>

<p>okay!!! I got t^18 too! the book is wrong lol thank you so much you guys :)</p>

yep…he wrote the problem wrong…t^8/t^2=w^12…not w^2…lol…
so after you simplify everything, you get t^6=w^12
then w^6, is half of w^12…so u divide that by 2…and u also divide t^6 by two…so that is how u get B.

What’s the source of the question?