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anonymous

  • one year ago

What value of m solves the equation? 2^m = 1/8

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  1. anonymous
    • one year ago
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    @ganeshie8

  2. anonymous
    • one year ago
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    @pooja195

  3. mathstudent55
    • one year ago
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    Have you learned negative exponents?

  4. anonymous
    • one year ago
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    doing it now .-. most annoying thing ever.

  5. mathstudent55
    • one year ago
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    \(\large a^{-n} = \dfrac{1}{a^n} \)

  6. mathstudent55
    • one year ago
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    First, rewrite the fraction 1/8 as 1 over a power of 2. 8 is 2 to what power?

  7. mathstudent55
    • one year ago
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    \(\large 2^? = 8\)

  8. anonymous
    • one year ago
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    I dont know. ;-;

  9. anonymous
    • one year ago
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    do you know the answer?

  10. anonymous
    • one year ago
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    \[2 \times 2 = ?\]

  11. mathstudent55
    • one year ago
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    \(8 = 2 \times 2 \times 2\) Ok?

  12. mathstudent55
    • one year ago
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    How do you write \(2 \times 2 \times 2\) as 2 raised to an exponent?

  13. mathstudent55
    • one year ago
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    |dw:1440519623823:dw|

  14. mathstudent55
    • one year ago
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    Do you understand now how you write 8 as a power of 2? \(\large 8 = 2 \times 2 \times 2 = 2^3\)

  15. anonymous
    • one year ago
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    He's offline.

  16. anonymous
    • one year ago
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    im back sorry XD

  17. anonymous
    • one year ago
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    im getting way too angry about this i need the answer

  18. mathstudent55
    • one year ago
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    Once you know that \(8 = 2^3\), now you can replace 8 with \(2^3\) in the fraction. \(\large 2^m = \dfrac{1}{2^3} \) Ok so far?

  19. mathstudent55
    • one year ago
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    Now we look again at the definition of a negative exponent. \(\large a^{-n} = \dfrac{1}{a^n}\) We have \(\large \dfrac{1}{2^3} \) Compare the fraction above with the definition of negative exponent.

  20. mathstudent55
    • one year ago
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    |dw:1440520093211:dw|

  21. mathstudent55
    • one year ago
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    The base of the power in the denominator becomes the base. Then the exponent of the denominator becomes the negative of the exponent.

  22. mathstudent55
    • one year ago
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    |dw:1440520193790:dw|

  23. anonymous
    • one year ago
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    \[2^{m} = \frac{ 1 }{ 2^{3}}\]

  24. anonymous
    • one year ago
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    \[a ^{-m} = \frac{ 1 }{ a ^{m} }\]

  25. anonymous
    • one year ago
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    do you know the answer? .-. dude ive only got about 3 minutes before i have to leave. please help me.

  26. anonymous
    • one year ago
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    The answer has already been given.

  27. anonymous
    • one year ago
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    Look at the equations I posted above you.

  28. anonymous
    • one year ago
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    canI need to know what m is

  29. mathstudent55
    • one year ago
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    |dw:1440520475499:dw|