simplify 15 exponent 18 over 15 exponent 3

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simplify 15 exponent 18 over 15 exponent 3

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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post the multiple choice pls
A)15 exponent 6 B)15 exponent 15 C)1 exponent 6 D)1 exponent 15
The question is \[\frac{15^{18}}{15^{3}}\] right?

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yes
its asking me to simplify that
OK, the important thing to remember about exponents is that they usually represent multiplying the same thing over and over. So for example, \[15^3 = 15 \times 15 \times 15\]. where the exponent 3 tells me to multiply 15 three times. Does that make sense as an example?
yes, thank you but based on the multiply choice what is the answer
Of course, that's the next step. :) I'll help you figure it out by asking you a couple questions. It's not too hard. :) Let's think about the top part of the fraction. How many times do I multiply 15 when I have an exponent of 18?
18 times
Excellent! So we know that our fraction looks like this...
:T
\[\frac{15 \times 15 \times \cdots \times 15 \ (18 \text{\times}))}{15 \times 15 \times 15}\]
There are eighteen 15s on top, and three 15s on the bottom. There's going to be cancellations!
i know
Good, we get to cancel three 15s, which leaves us with fifteen 15s on top.
Dividing the two is also equal to\[15^{18-3}\] It will get you the same answer.
The final answer is that we have fifteen 15s multiplied together. This is the same as \[15^{15}\] we are done!
Thanks
Your welcome, good job!

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