Question

Help STEP BY STEP. pleassse! Medal & fan!

Answer 1

what is the question?

Answer 2

posting it

Answer 3

another radical?

Answer 4

\[\frac{ \sqrt{250x^{16}} }{ \sqrt{2x} }\]

Answer 5

Yes. kinda

Answer 6

Dividing it and simplifying.

Answer 7

treat this as
\[\sqrt{\frac{250x^{16}}{2x}}\] and simplify inside the racial first

Answer 8

what is half of 250?

Answer 9

125

Answer 10

k good and \(\frac{x^{16}}{x}=?\)

Answer 11

7.5?

Answer 12

would the x go away?

Answer 13

oops heck no

Answer 14

suppose \(x\) was \(10\)
then you would have \(\frac{10^{16}}{10}\)

Answer 15

so 1?

Answer 16

the tens don't go do they?

Answer 17

for the 10/10

Answer 18

ok lets back up a second

Answer 19

what is \(\frac{25}{5}\)?

Answer 20

5

Answer 21

ok what is \[\frac{5^2}{5}\]?

Answer 22

5

Answer 23

right you are
you don't get one do you?

Answer 24

OH! okay! one sec i think i know now. and no

Answer 25

10 to the 15th is HUGE...

Answer 26

yes !!

Answer 27

and so finally what is
\[\huge \frac{x^{16}}{x}\]

Answer 28

pretend x is ten

Answer 29

I meant 16 and i am confused here...

Answer 30

do I take 10^16? then divide by ten?

Answer 31

here is a general rule for exponents
\[\frac{b^m}{b^n}=b^{m-n}\] you subtract the exponents

Answer 32

but theres no exponent for the bottom number??

Answer 33

it is really just cancelling is all

Answer 34

yes, that is true , you do not see one do you?

Answer 35

no..

Answer 36

why do you think that is ?

Answer 37

because there isnt one?

Answer 38

lol no dear, because it is one

Answer 39

oh..

Answer 40

you don't write \(x^1\) you just write \(x\)

Answer 41

okay i was forgetting theres an x on the original one

Answer 42

that makes
\[\frac{x^{16}}{x}=x^{15}\] subtract one from 16 and get 15

Answer 43

you are really just cancelling one of the x's

Answer 44

ok so its 15?

Answer 45

not the number fifteen, but rather \(x^{15}\)

Answer 46

so now we are at
\[\sqrt{125x^{15}}\] and we have to simplify that one

Answer 47

okay so, I got the square root of 125 is 11.2?

Answer 48

here is my guess
my guess is they want you to write \(125=25\times 3\) making \[\sqrt{125}=\sqrt{25\times 3}=\sqrt{25}\sqrt3=5\sqrt3\]

Answer 49

if you have a multiple choice one, look for a 5 on the outside of the radical and a 3 on the inside of the radical

Answer 50

Its not multiple choice, so what happens to the exponent?

Answer 51

since 2 goes in to 15 7 times with a remainder of 1, final answer is
\[\sqrt{125x^{15}}=5x^7\sqrt{3x}\]

Answer 52

Okay, i see what you did! Thank you!

Answer 53

\[\color\magenta\heartsuit\] don't forget the laws of exponents!