Question

Rewrite in simplest radical form
1
x
−3
6
. Show each step of your process.

Answer 1

\[\frac{\frac{1}{x}}{6^{-3}}=\frac{216}{x}\]

Answer 2

\[\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\]
\[6^{-3}=\frac{1}{6^3}\]
\[=\frac{\frac{1}{x}}{\frac{1}{6^3}}\]
\[\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}\]
\[=\frac{6^3}{x}\]

Answer 3

are you understand @boots_2000

Answer 4

nope

Answer 5

not at all

Answer 6

1 over x raised 3 over 6 thats what the question was supposed to be

Answer 7

\[\huge\rm \frac{ 1 }{ x^\frac{ 3 }{ 6 } }\]
like this ?

Answer 8

yes

Answer 9

alright you can reduce the fraction 3/6 =?

Answer 10

1/2

Answer 11

yep right now you can change 1/2 root to radical \[\huge\rm x^\frac{ m }{ n } = \sqrt[n]{x^m}\]

Answer 12

so my answer would be square root x of 1?

Answer 13

nope

Answer 14

\[\huge\rm x^\frac{ 1 }{ 2}=???\]
let m = 1 and n =2
look at the exapmle i gave you

Answer 15

example*

Answer 16

yesright

Answer 17

sorry i didn't see word square
so now you are not allowed to have radical at the denominator

Answer 18

\[\frac{1}{x^{\frac{3}{6}}}=\frac{1}{\sqrt{x}}\]
\[\mathrm{Simplify}\:\frac{3}{6}:\quad \frac{1}{2}\]
=1/x^(1/2)
\[=\frac{1}{\sqrt{x}}\]

Answer 19

\[\sqrt[2]{x ^{1}}\]

Answer 20

\[\huge\rm \frac{ 1 }{ \sqrt{x}}\]
multiply both the denominator and numerator by square root of x

Answer 21

don't forget the 1 at the numerator that stay there

Answer 22

\[\huge\rm \frac{ 1 }{ \sqrt{x} } \times \frac{ \sqrt{x} }{ \sqrt{x} }\]

Answer 23

\[1\div \sqrt[2]{x ^{1}}\]

Answer 24

like that?

Answer 25

yes right now multiply both the top and bottom by the denominator (sqrt{{x})
= answer

Answer 26

\[-\sqrt[2]{x ^{1}}\]

Answer 27

nope how did you get negative sign
or is it typo ? ;)

Answer 28

typo

Answer 29

btw radical sign mean square root
so you don't have to write 2 .....

Answer 30

sorry

Answer 31

\[\sqrt{ }\] <-- square root

Answer 32

\[\huge\rm \frac{ 1 }{ \sqrt{x} } \times \frac{ \sqrt{x} }{ \sqrt{x} }\]
multiply denominator by denominator and numerator y numerator

Answer 33

so the answer is without the negative sign???

Answer 34

so its just the suare root of x that we just put but withour the negative???

Answer 35

well there isn't any negative sign in the original question
so it's pretty obvious :=) o^_^o

Answer 36

nope multiply

Answer 37

\[\huge\rm \frac{ 1 }{ \sqrt{x} } \times \frac{ \sqrt{x} }{ \sqrt{x} }\]
\[\frac{ 1 \times \sqrt{x} }{ \sqrt{x} \times \sqrt{x}}\]

Answer 38

okay well im lost so imma just guess or not answer it

Answer 39

as you wish..
just one last step MULTIPLCATION!
that's it
done!