anonymous
  • anonymous
Simplify the given expression to radical form, justify each step by identifying the properties of rational exponents used.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
@FutureMathProfessor
anonymous
  • anonymous
start by subtracting the exponents \[\frac{2}{3}-\frac{4}{9}\]

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anonymous
  • anonymous
you have to find the lowest common denominator so 2/18-4/18 -2/18?
anonymous
  • anonymous
@satellite73 is that right? what next?
anonymous
  • anonymous
@phi
phi
  • phi
to change the denominator, you multiply it by whatever number you want. But you have to do the same thing to the top. try again
anonymous
  • anonymous
2*2/3*3 4*2/9*2 4/9 and 8/18
phi
  • phi
the 8/18 is ok but you want to change 2/3 to x/18 (you want an 18 in the bottom to match the other fraction) you should see you must multiply the 3 by 6 to get 18. that means *do the same to the top*
anonymous
  • anonymous
12/18 and 8/18
anonymous
  • anonymous
because 6*2
phi
  • phi
now you are in business
anonymous
  • anonymous
haha :D
anonymous
  • anonymous
is that the final answer?
anonymous
  • anonymous
What do i do next? I don't know how to simplify both answers into radical form
phi
  • phi
do what satellite said start by subtracting the exponents
anonymous
  • anonymous
4/0
anonymous
  • anonymous
4?
anonymous
  • anonymous
4/18
anonymous
  • anonymous
4/18 = 2/9
phi
  • phi
that is the exponent of x so x^(2/9)
phi
  • phi
btw, you could have used a common denominator of 9. the bottom fraction is already ok. the top could be changed by multiplying top and bottom by 3 but it does not matter much... 18 works fine
anonymous
  • anonymous
Thank you so much
anonymous
  • anonymous
so in radical form it would be 9√x2
phi
  • phi
if you use the equation editor, you could write it properly. that should be a "little" 9 \[ \sqrt[9]{x^2} \]
anonymous
  • anonymous
i did it on microsoft word with superscript and i copy and pasted it here but it didn't work
anonymous
  • anonymous
how do i get the equation editor?
phi
  • phi
the button in the lower left of the input area here.
anonymous
  • anonymous
Thanks

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