anonymous
  • anonymous
simplify 15 exponent 18 over 15 exponent 3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
post the multiple choice pls
anonymous
  • anonymous
A)15 exponent 6 B)15 exponent 15 C)1 exponent 6 D)1 exponent 15
jtvatsim
  • jtvatsim
The question is \[\frac{15^{18}}{15^{3}}\] right?

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More answers

anonymous
  • anonymous
yes
anonymous
  • anonymous
its asking me to simplify that
jtvatsim
  • jtvatsim
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?
anonymous
  • anonymous
yes, thank you but based on the multiply choice what is the answer
jtvatsim
  • jtvatsim
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?
anonymous
  • anonymous
18 times
jtvatsim
  • jtvatsim
Excellent! So we know that our fraction looks like this...
anonymous
  • anonymous
:T
jtvatsim
  • jtvatsim
\[\frac{15 \times 15 \times \cdots \times 15 \ (18 \text{\times}))}{15 \times 15 \times 15}\]
jtvatsim
  • jtvatsim
There are eighteen 15s on top, and three 15s on the bottom. There's going to be cancellations!
anonymous
  • anonymous
i know
jtvatsim
  • jtvatsim
Good, we get to cancel three 15s, which leaves us with fifteen 15s on top.
marihelenh
  • marihelenh
Dividing the two is also equal to\[15^{18-3}\] It will get you the same answer.
jtvatsim
  • jtvatsim
The final answer is that we have fifteen 15s multiplied together. This is the same as \[15^{15}\] we are done!
anonymous
  • anonymous
Thanks
jtvatsim
  • jtvatsim
Your welcome, good job!

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