√x/y^2 x ^3√y^2z^2/x^2 x ^4√xy/z^3 =
Please help..
Solution has to be ^12√x/yz
You can NOT use " x " to represent a variable AND an OPERATOR !!
You must use brackets/parentheses to clarify the radicand(s) !
Your notation for the index is 'strange !'
If you mean:
(x/y^2)^(1/2) * (y^2 z^2/x^2)^(1/3) * (xy/z^3)^(1/4)
then, apply the properties of exponents to get...
[each variable treated separately ]
[x^(1/2 + 1/4) / x^(2/3)] = [x^(3/4) / x^(2/3)] = x^[(3/4) - (2/3)] = x^(1/12)
similarly for "y" and "z" will give: (x/yz)^(1/12)
here is a link:
http://www.wolframalpha.com/input/?i=simplify+%28x...
euclid
Comments
You can NOT use " x " to represent a variable AND an OPERATOR !!
You must use brackets/parentheses to clarify the radicand(s) !
Your notation for the index is 'strange !'
If you mean:
(x/y^2)^(1/2) * (y^2 z^2/x^2)^(1/3) * (xy/z^3)^(1/4)
then, apply the properties of exponents to get...
[each variable treated separately ]
[x^(1/2 + 1/4) / x^(2/3)] = [x^(3/4) / x^(2/3)] = x^[(3/4) - (2/3)] = x^(1/12)
similarly for "y" and "z" will give: (x/yz)^(1/12)
here is a link:
http://www.wolframalpha.com/input/?i=simplify+%28x...
euclid