SyedMohammed98
  • SyedMohammed98
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)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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freckles
  • freckles
hint: \[x^4=10 \\ x^\frac{4}{2}= 10^\frac{1}{2} \\ \]
freckles
  • freckles
so what is x^4 times x^2 =?
SyedMohammed98
  • SyedMohammed98
x^8?

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freckles
  • freckles
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?
freckles
  • freckles
use the hint above
UsukiDoll
  • UsukiDoll
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
SyedMohammed98
  • SyedMohammed98
10(1/2)
freckles
  • freckles
10^(1/2) ? if so yes which is the same thing as saying sqrt(10)
SyedMohammed98
  • SyedMohammed98
so it's A?
UsukiDoll
  • UsukiDoll
so if \[x^2 = \sqrt{10} \] and \[x^4 = 10 \] what is \[x^6? \]
SyedMohammed98
  • SyedMohammed98
10(square root 10)
freckles
  • freckles
\[x^4=10 \\ x^4=10^{1} \\ \] \[x^\frac{4}{2}=10^\frac{1}{2} \\ \text{ so } x^2=10^\frac{1}{2} \\ \text{ and yes } \\ x^6=x^4 \cdot x^2 =10 \cdot \sqrt{10}\]
SyedMohammed98
  • SyedMohammed98
Thank you so much @UsukiDoll @freckles
UsukiDoll
  • UsukiDoll
it's like using the exponent rule to split up the x^6 \[x^6 \rightarrow x^{2+4} \rightarrow (x^2)(x^4)\] \[\sqrt{10}(10) \]
SyedMohammed98
  • SyedMohammed98
got it :) thnx
UsukiDoll
  • UsukiDoll
so there's a big difference between the addition/multiplication for the exponent rule and distributing the exponent |dw:1438755808931:dw|
SyedMohammed98
  • SyedMohammed98
i got it ...lol thnx :)
UsukiDoll
  • UsukiDoll
|dw:1438755875878:dw|
UsukiDoll
  • UsukiDoll
I think I wrote that backwards rofl XDDDDDDDDDDDDDD
SyedMohammed98
  • SyedMohammed98
thank you sooo much for all the help :) m really grateful ... lol it's okay
UsukiDoll
  • UsukiDoll
|dw:1438755972242:dw|

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