Question

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)

Answer 1

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

Answer 2

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

Answer 3

x^8?

Answer 4

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?

Answer 5

use the hint above

Answer 6

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

Answer 7

10(1/2)

Answer 8

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

Answer 9

so it's A?

Answer 10

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

Answer 11

10(square root 10)

Answer 12

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

Answer 13

Thank you so much @UsukiDoll @freckles

Answer 14

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

Answer 15

got it :)
thnx

Answer 16

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

Answer 17

i got it ...lol thnx :)