Question

I have the answer can someone just see if I am correct?
Rewrite the following function in the form
f(x)=kx^p.
f(x)=(2x)(5square root x)
k=
p=

Answer 1

\[f(x)=(2x)(5\sqrt{x})\]

Answer 2

what do you have?

Answer 3

k=10 and p= 2

Answer 4

k is good, how did you get p?

Answer 5

well that is were I'm not sure if I did it right what do you do with the square root

Answer 6

ok, the trick is \[\sqrt{x}=x^{\frac{1}{2}}\]

Answer 7

oh so if there are no numbers always =.5

Answer 8

so then k=10 and p=.5 correct

Answer 9

close, you have one x with nothing so that is x^1 and another x with x^(1/2) so you get x^(1 + 1/2) = x^(3/2)

Answer 10

k= 10 and then p=1.5 right

Answer 11

to clarify what you said earlier if there are no numbers AND there is a square root than it is .5 :)

Answer 12

correct!

Answer 13

ok thank you

Answer 14

the general formula is this:
\[\sqrt[a]{x^b}=x^{\frac{b}{a}}\]

Answer 15

ok

Answer 16

no problem!