SOLUTION: I need help with figuring out how to transform (6sqrt(x^5))7 ("6" is the index) into an expression with a rational exponent. My lesson only included instructions on how to transfor
Algebra ->
Radicals
-> SOLUTION: I need help with figuring out how to transform (6sqrt(x^5))7 ("6" is the index) into an expression with a rational exponent. My lesson only included instructions on how to transfor
Log On
Question 814699: I need help with figuring out how to transform (6sqrt(x^5))7 ("6" is the index) into an expression with a rational exponent. My lesson only included instructions on how to transform it without the "7" in there, so I just don't know what to do with it.
From what I've found I think it may be solved like this:
(6sqrt(x^5))7
(x^5/6)7
x^5/(6*7)
x^5/42
All I would need is an example, thank you very much for your time. Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! 279936 (x^5)^(7/2)
raise 6 to the 7th power
sqrt(x^5)=x^5/2
but raised to the 7th can be written
(x^5)^(7/2)
or
x^(35/2)
x^15 sqrt(x^5)
279936 x^15 sqrt(x^5)
