Write it out

Algebra Level 2

If x = y \sqrt{x} = y , what is x y x^{y} in term y y ?

y 2 y^{2} y 2 x y^{2x} y 2 y y^{2y} y x y^{x}

Fidel Simanjuntak by Fidel Simanjuntak , 19, Indonesia

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Chew-Seong Cheong
Sep 18, 2016

x = y Squaring both sides x = y 2 Raising to the power of y x y = y 2 y \begin{aligned} \sqrt x & = y & \small \color{#3D99F6}{\text{Squaring both sides}} \\ x & = y^2 & \small \color{#3D99F6}{\text{Raising to the power of }y} \\ x^y & = \boxed{y^{2y}} \end{aligned}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

x 1 / 2 = y x^{1/2}=y . Raising both sides to the power of 2 y 2y we get x y = y 2 y x^y=y^{2y} .

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice.. It's easy...

Fidel Simanjuntak - 5 years, 1 month ago
Ashish Menon
Jun 3, 2016

x 1 2 = y ( x 1 2 ) 2 y = y 2 y x y = y 2 y x^{\tfrac{1}{2}} = y\\ {\left(x^{\tfrac{1}{2}}\right)}^{2y} = y^{2y}\\ x^y = \color{#69047E}{\boxed{y^{2y}}}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...