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anonymous

  • one year ago

Evaluate the following expression. 2^-3

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  1. UsukiDoll
    • one year ago
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    hey! Long time no see ! :D

  2. anonymous
    • one year ago
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    Hi!

  3. UsukiDoll
    • one year ago
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    so we are given the problem \[\LARGE 2^{-3} \] negative exponents aren't allowed, so we have to take the reciprocal. A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For example \[ \LARGE x^{-2} \rightarrow \frac{1}{x^2} \]

  4. UsukiDoll
    • one year ago
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    so we need to flip \[\LARGE 2^{-3} \] and that becomes ..?

  5. anonymous
    • one year ago
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    -3 over 2?

  6. UsukiDoll
    • one year ago
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    not exactly... remember our example \[\LARGE x^{-2} \rightarrow \frac{1}{x^2} \] so let x =2 and replace the -2 with -3

  7. UsukiDoll
    • one year ago
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    A negative exponent is equivalent to the inverse of the same number with a positive exponent

  8. UsukiDoll
    • one year ago
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    example \[\LARGE x^{-4} \rightarrow \frac{1}{x^4} \]

  9. anonymous
    • one year ago
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    Oh okay I got it!

  10. UsukiDoll
    • one year ago
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    so let's try to apply the example to \[\LARGE 2^{-3} \]

  11. UsukiDoll
    • one year ago
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    so instead of \[\LARGE 2^{-3} \] we have \[\LARGE 2^{-3} \rightarrow \frac{1}{?} \]

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