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SyedMohammed98

  • one year ago

If x^4 = 10 what is x^6? A) 10(square root 10) B) 100 C) 100(square root 10) D) 1000 E) 1000(square root 10)

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  1. freckles
    • one year ago
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    hint: \[x^4=10 \\ x^\frac{4}{2}= 10^\frac{1}{2} \\ \]

  2. freckles
    • one year ago
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    so what is x^4 times x^2 =?

  3. SyedMohammed98
    • one year ago
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    x^8?

  4. freckles
    • one year ago
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    it is x^6 since 4+2 is 6 not 8 but I was asking you for the other value like you can replace x^4 with 10 you can replace x^2 with?

  5. freckles
    • one year ago
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    use the hint above

  6. UsukiDoll
    • one year ago
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    it's like..... for example if we need to find x^8 and given x^4= 10 split the x^8 up with the exponent rule (x^4)(x^4) (10)(10) = 100... that's just an example

  7. SyedMohammed98
    • one year ago
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    10(1/2)

  8. freckles
    • one year ago
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    10^(1/2) ? if so yes which is the same thing as saying sqrt(10)

  9. SyedMohammed98
    • one year ago
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    so it's A?

  10. UsukiDoll
    • one year ago
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    so if \[x^2 = \sqrt{10} \] and \[x^4 = 10 \] what is \[x^6? \]

  11. SyedMohammed98
    • one year ago
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    10(square root 10)

  12. freckles
    • one year ago
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    \[x^4=10 \\ x^4=10^{1} \\ \] \[x^\frac{4}{2}=10^\frac{1}{2} \\ \text{ so } x^2=10^\frac{1}{2} \\ \text{ and yes } \\ x^6=x^4 \cdot x^2 =10 \cdot \sqrt{10}\]

  13. SyedMohammed98
    • one year ago
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    Thank you so much @UsukiDoll @freckles

  14. UsukiDoll
    • one year ago
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    it's like using the exponent rule to split up the x^6 \[x^6 \rightarrow x^{2+4} \rightarrow (x^2)(x^4)\] \[\sqrt{10}(10) \]

  15. SyedMohammed98
    • one year ago
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    got it :) thnx

  16. UsukiDoll
    • one year ago
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    so there's a big difference between the addition/multiplication for the exponent rule and distributing the exponent |dw:1438755808931:dw|

  17. SyedMohammed98
    • one year ago
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    i got it ...lol thnx :)

  18. UsukiDoll
    • one year ago
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    |dw:1438755875878:dw|

  19. UsukiDoll
    • one year ago
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    I think I wrote that backwards rofl XDDDDDDDDDDDDDD

  20. SyedMohammed98
    • one year ago
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    thank you sooo much for all the help :) m really grateful ... lol it's okay

  21. UsukiDoll
    • one year ago
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    |dw:1438755972242:dw|

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