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anonymous

  • one year ago

Help please no calculators just steps...

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  1. anonymous
    • one year ago
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    \[\frac{ 2^{30}-2^{29} }{ 2 }\]

  2. geerky42
    • one year ago
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    HINT: \(2^{30} = 2\cdot2^{29}\)

  3. geerky42
    • one year ago
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    This doesn't help? @yomamabf

  4. anonymous
    • one year ago
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    no fraid not

  5. geerky42
    • one year ago
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    Sorry for keep you waiting. Hmm ok \(\dfrac{2\cdot2^{29}-2^{29}}{2}\) Is there something we can factor in numerator?

  6. anonymous
    • one year ago
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    ummm can you explain what u mean

  7. geerky42
    • one year ago
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    What is highest common factor in numerator?

  8. anonymous
    • one year ago
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    this has to equal \[2^{28}\]

  9. anonymous
    • one year ago
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    2^29

  10. geerky42
    • one year ago
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    Yeah. so that means you can factor \(2^{29}\) out.

  11. anonymous
    • one year ago
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    how would u factor it out?

  12. geerky42
    • one year ago
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    Like this: \[\dfrac{2\cdot2^{29}-2^{29}}{2} = \dfrac{2^{29}(2-1)}{2}\]

  13. geerky42
    • one year ago
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    Factor is basically opposite of distribution, you know?

  14. anonymous
    • one year ago
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    ohhh yea i remember this okay what's the next step?

  15. anonymous
    • one year ago
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    subtract the denominator?

  16. geerky42
    • one year ago
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    well, clearly 2-1= 1 So we are down to \(\dfrac{2^{29}}{2}\)

  17. geerky42
    • one year ago
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    You can use this exponent rule: \(\dfrac{a^b}{a^c} = a^{b-c}\)

  18. anonymous
    • one year ago
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    OHHHHHHHHHH and then you subtract and get 2^28

  19. geerky42
    • one year ago
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    yeah

  20. anonymous
    • one year ago
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    I'm a doofus okay got it you're the best <3333

  21. geerky42
    • one year ago
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    it's alright lol

  22. geerky42
    • one year ago
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    Glad I helped

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is replying to Can someone tell me what button the professor is hitting...

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