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)

1. freckles

hint: $x^4=10 \\ x^\frac{4}{2}= 10^\frac{1}{2} \\$

2. freckles

so what is x^4 times x^2 =?

3. SyedMohammed98

x^8?

4. 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?

5. freckles

use the hint above

6. 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

7. SyedMohammed98

10(1/2)

8. freckles

10^(1/2) ? if so yes which is the same thing as saying sqrt(10)

9. SyedMohammed98

so it's A?

10. UsukiDoll

so if $x^2 = \sqrt{10}$ and $x^4 = 10$ what is $x^6?$

11. SyedMohammed98

10(square root 10)

12. freckles

$x^4=10 \\ x^4=10^{1} \\$ $x^\frac{4}{2}=10^\frac{1}{2} \\ \text{ so } x^2=10^\frac{1}{2} \\ \text{ and yes } \\ x^6=x^4 \cdot x^2 =10 \cdot \sqrt{10}$

13. SyedMohammed98

Thank you so much @UsukiDoll @freckles

14. UsukiDoll

it's like using the exponent rule to split up the x^6 $x^6 \rightarrow x^{2+4} \rightarrow (x^2)(x^4)$ $\sqrt{10}(10)$

15. SyedMohammed98

got it :) thnx

16. UsukiDoll

so there's a big difference between the addition/multiplication for the exponent rule and distributing the exponent |dw:1438755808931:dw|

17. SyedMohammed98

i got it ...lol thnx :)

18. UsukiDoll

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19. UsukiDoll

I think I wrote that backwards rofl XDDDDDDDDDDDDDD

20. SyedMohammed98

thank you sooo much for all the help :) m really grateful ... lol it's okay

21. UsukiDoll

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