$\displaystyle x^6*(x^3*y^9)^0.5 + y^-1*(x^3*y^5)^0.5$

My maths equation looks even more convoluted with the symbols I have used. Could come one please direct me to a page where I could learn how to use the special symbols such as various roots, multiplication, division etc...

Also, it would be best if someone could tell or show me the first step rather then solving it all straight out. That way I could see if I can do the rest.

Turkey

2. Originally Posted by Turkey
$\displaystyle x^6*(x^3*y^9)^0.5 + y^-1*(x^3*y^5)^0.5$

My maths equation looks even more convoluted with the symbols I have used. Could come one please direct me to a page where I could learn how to use the special symbols such as various roots, multiplication, division etc...

Also, it would be best if someone could tell or show me the first step rather then solving it all straight out. That way I could see if I can do the rest.

C. Anderson
$\displaystyle x^6(x^3y^9)^{0.5} + y^{-1}(x^3y^5)^{0.5}$

expand brackets:

$\displaystyle x^6(x^3y^9)^{0.5} + y^{-1}(x^3y^5)^{0.5}=x^6x^{1.5}y^{4.5} + y^{-1}x^{1.5}y^{2.5}$

Now collect powers of the variables:

................ $\displaystyle =x^{7.5}y^{4.5} +x^{1.5}y^{1.5}$

Takre out the common factors:

................ $\displaystyle =x^{1.5}y^{1.5}(x^{6}y^{3} +1)$

and tidy up:

................ $\displaystyle =(xy)^{3/2}(x^{6}y^{3} +1)=(xy)^{3/2}([x^{2}y]^{3} +1)$

RonL