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nuccioreggie

  • one year ago

Which expression is equivalent to 73 ⋅ 7−5? 72 77 1 over 7 to the 2nd power 1 over 7 to the 7th power

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  1. nuccioreggie
    • one year ago
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    @Michele_Laino

  2. tkhunny
    • one year ago
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    Show your work. Don't forget your Order of Operations.

  3. anonymous
    • one year ago
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    So \[\large7^3*\large7^{-5}\]?

  4. anonymous
    • one year ago
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    Hello? @nuccioreggie

  5. nuccioreggie
    • one year ago
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    Ok 1sec

  6. nuccioreggie
    • one year ago
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    Yea thats the question

  7. anonymous
    • one year ago
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    \[\Large7^3*\Large7^{-5}=\Large7^{3-5}\]

  8. nuccioreggie
    • one year ago
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    I think the answer is B

  9. anonymous
    • one year ago
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    And why do you think that?

  10. nuccioreggie
    • one year ago
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    Idk

  11. mathstudent55
    • one year ago
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    To multiply powers with the same base, give the same base and add the exponents. Examples: \(\large 5^8 \cdot 5^7 = 5^{8 + 7} = 5^{15} \) \(\large 3^{-5} \cdot 3^4 = 3^{-5 + 4} = 3^{-1} \)

  12. mathstudent55
    • one year ago
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    Also, after you multiply the powers together using the rule above, you need to know what to do with a negative exponent. For that use this rule: \(\large a^{-n} = \dfrac{1}{a^n} \) Example: \(\large 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{125} \)

  13. nuccioreggie
    • one year ago
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    Ok i just did that and i got the answer choice

  14. nuccioreggie
    • one year ago
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    A

  15. mathstudent55
    • one year ago
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    First, multiply the powers together. The base is 7. What do you get for the exponent?

  16. mathstudent55
    • one year ago
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    What is 3 + (-5) = ?

  17. nuccioreggie
    • one year ago
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    -2

  18. nuccioreggie
    • one year ago
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    Sorry if i typee the same thing twice its not moe its my computer

  19. mathstudent55
    • one year ago
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    Good. So far you are correct. |dw:1433878869336:dw|

  20. mathstudent55
    • one year ago
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    Now you need to deal with the negative exponent. See my example above. A negative exponent ends up as a fraction.

  21. nuccioreggie
    • one year ago
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    Ohhhhh ok so its C

  22. mathstudent55
    • one year ago
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    Correct! |dw:1433878981234:dw|

  23. nuccioreggie
    • one year ago
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    Ok thanks can you help me with 2 more only please

  24. tkhunny
    • one year ago
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    And let's work on that notation. 73 ⋅ 7−5 = 73*7 - 5 = 511 - 5 = 506 Find SOME way to indicate an exponent. 7^3 * 7^(-5) Perhaps.

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