anonymous
  • anonymous
Simplify (5)^-1/2 * (5x)^5/2 (5x)^-3/2 My final answer is x/sqrt5. Is this correct?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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arindameducationusc
  • arindameducationusc
all x terms right?
anonymous
  • anonymous
\[5^{-1/2}*5x ^{5/2}(5x)^{-3/2}\]
anonymous
  • anonymous
All in x terms.

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More answers

arindameducationusc
  • arindameducationusc
firt add the power of x as 5 is common base 5/2-3/2 The total answer you will get x/sqrt(5)
arindameducationusc
  • arindameducationusc
Congrats! Correct answer!
anonymous
  • anonymous
Thank you.
arindameducationusc
  • arindameducationusc
O wait.... the answer is sqrt(5)x
anonymous
  • anonymous
oh. How do I get there?
arindameducationusc
  • arindameducationusc
|dw:1440210052094:dw|
arindameducationusc
  • arindameducationusc
initial one above, I think you got that... Now see what happens
arindameducationusc
  • arindameducationusc
|dw:1440210109054:dw|
arindameducationusc
  • arindameducationusc
as 5^-1/2 is sqrt(5) in the denominator (Law of exponents)
arindameducationusc
  • arindameducationusc
now sqrt5*sqrt5=5 so simplify
arindameducationusc
  • arindameducationusc
|dw:1440210183235:dw|
anonymous
  • anonymous
I do it this way: \[5^{-1/2}*5x ^{5/2}(5x)^{-3/2}= 1/5*\sqrt{5x ^{5}}(1/\sqrt{5x ^{3}})\]
arindameducationusc
  • arindameducationusc
Got it?
arindameducationusc
  • arindameducationusc
My way is easier.........
anonymous
  • anonymous
I do not understand how I get from |dw:1440210294618:dw|
anonymous
  • anonymous
I then get this|dw:1440210396554:dw|
anonymous
  • anonymous
Is that work correct? If so, then I get |dw:1440210462464:dw|
arindameducationusc
  • arindameducationusc
In simple words, when base is same in this case 5 is same, you can subtract the powers!
anonymous
  • anonymous
So you are saying that I can go from |dw:1440210540555:dw|
anonymous
  • anonymous
Your reasoning would be correct if the exponents were not negative? I do not understand how people can get to the answer 5sqrtx
arindameducationusc
  • arindameducationusc
No No!
arindameducationusc
  • arindameducationusc
-1/2 dont do that!
arindameducationusc
  • arindameducationusc
only 5/2-3/2 1/2 has no x term
anonymous
  • anonymous
It is still incorrect though because it would be 5/2-(-3/2)=8/2
arindameducationusc
  • arindameducationusc
ofcourse!
arindameducationusc
  • arindameducationusc
its 5/2+(-3/2) =2/2=1
arindameducationusc
  • arindameducationusc
now are you understanding?
anonymous
  • anonymous
oh.let me try this now.|dw:1440211147039:dw|
anonymous
  • anonymous
I understand the logic. Where doe the 5^-1/2 go now?
arindameducationusc
  • arindameducationusc
its a constant so its just 1/sqrt(5) see, 5^1/2 = sqrt(5) so 5^-1/2=1/sqrt(5) Did you get the logic?
anonymous
  • anonymous
Yes. So what is the final answer?
arindameducationusc
  • arindameducationusc
|dw:1440211406218:dw|
arindameducationusc
  • arindameducationusc
|dw:1440211455166:dw| so sqrt(5)x is the answer
arindameducationusc
  • arindameducationusc
If you liked my response, don't forget to medal and fan....
arindameducationusc
  • arindameducationusc
@TotallyNautical are you there?

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