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anonymous

  • one year ago

simplify 15 exponent 18 over 15 exponent 3

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  1. anonymous
    • one year ago
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    post the multiple choice pls

  2. anonymous
    • one year ago
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    A)15 exponent 6 B)15 exponent 15 C)1 exponent 6 D)1 exponent 15

  3. jtvatsim
    • one year ago
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    The question is \[\frac{15^{18}}{15^{3}}\] right?

  4. anonymous
    • one year ago
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    yes

  5. anonymous
    • one year ago
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    its asking me to simplify that

  6. jtvatsim
    • one year ago
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    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?

  7. anonymous
    • one year ago
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    yes, thank you but based on the multiply choice what is the answer

  8. jtvatsim
    • one year ago
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    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?

  9. anonymous
    • one year ago
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    18 times

  10. jtvatsim
    • one year ago
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    Excellent! So we know that our fraction looks like this...

  11. anonymous
    • one year ago
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    :T

  12. jtvatsim
    • one year ago
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    \[\frac{15 \times 15 \times \cdots \times 15 \ (18 \text{\times}))}{15 \times 15 \times 15}\]

  13. jtvatsim
    • one year ago
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    There are eighteen 15s on top, and three 15s on the bottom. There's going to be cancellations!

  14. anonymous
    • one year ago
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    i know

  15. jtvatsim
    • one year ago
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    Good, we get to cancel three 15s, which leaves us with fifteen 15s on top.

  16. marihelenh
    • one year ago
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    Dividing the two is also equal to\[15^{18-3}\] It will get you the same answer.

  17. jtvatsim
    • one year ago
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    The final answer is that we have fifteen 15s multiplied together. This is the same as \[15^{15}\] we are done!

  18. anonymous
    • one year ago
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    Thanks

  19. jtvatsim
    • one year ago
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    Your welcome, good job!

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