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Barrelracing

  • one year ago

Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.

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  1. alekos
    • one year ago
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    \[x^{a}.x^{b} = x ^{a+b}\]

  2. Barrelracing
    • one year ago
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    ?

  3. Barrelracing
    • one year ago
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    help please

  4. Barrelracing
    • one year ago
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    @Michele_Laino

  5. alekos
    • one year ago
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    do you mean x^3.x^3.x^3 ?

  6. Barrelracing
    • one year ago
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    yes

  7. Michele_Laino
    • one year ago
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    hint: \[\Large {x^3} \cdot {x^3} \cdot {x^3} = {x^{3 + 3 + 3}} = ...?\]

  8. Barrelracing
    • one year ago
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    I don't understand

  9. Michele_Laino
    • one year ago
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    it is the application of the property of multiplication of powers with the same basis, please see the post of @alekos above

  10. Barrelracing
    • one year ago
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    I just don't exactly know what im suppose to do.

  11. Michele_Laino
    • one year ago
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    I think that you have to compute the multiplication of those powers, namely x^3 * x^3 * x^3

  12. Barrelracing
    • one year ago
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    x^27

  13. Michele_Laino
    • one year ago
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    no, since we have this: \[\Large {x^{27}} = {x^{3 \times 3 \times 3}} = {\left\{ {{{\left( {{x^3}} \right)}^3}} \right\}^3}\]

  14. Barrelracing
    • one year ago
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    so they are equivalent?

  15. Michele_Laino
    • one year ago
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    no, they are different, since this quantity: \[\Large {x^3} \cdot {x^3} \cdot {x^3} = {x^{3 + 3 + 3}}\] is the multiplication of powers whereas this quantity: \[\Large {x^{3 \times 3 \times 3}} = {\left\{ {{{\left( {{x^3}} \right)}^3}} \right\}^3}\] is the power of power of power

  16. Michele_Laino
    • one year ago
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    and when x is different from 1, those quantities are different

  17. Barrelracing
    • one year ago
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    ok thank you

  18. Michele_Laino
    • one year ago
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    thanks! :)

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