Can someone tell me where I went wrong simplifying the expression (9x^1/2)^2*(x^2)^5? I came up with 81x^11. Here is my work. (9x^1/2)^2 * (x^2)^5 - 9^2x^1 * x^10 - 81x^1 *x^10 - 81x^11. What did I do wrong?

Question

Can someone tell me where I went wrong simplifying the expression (9x^1/2)^2*(x^2)^5?  I came up with 81x^11.  Here is my work.  (9x^1/2)^2 * (x^2)^5 -> 9^2x^1 * x^10 -> 81x^1 *x^10 -> 81x^11.  What did I do wrong?

yoloshroom · Answer

Is that (Sqrt9x)? or 9x/2 ?

anonymous · Answer

It's (Sqrt9x).

anonymous · Answer

I forgot to mention that my textbook says the answer should be 81x^20

anonymous · Answer

Do you have a picture?

anonymous · Answer

Or the work you have done on paper?

anonymous · Answer

$$(9x^\frac{ 1 }{ 2 })^2(x^2)^5$$  
That is what the expression looks like in my textbook.

anonymous · Answer

I don't have either.  Give me a second and I can use the equation to show what I did.

anonymous · Answer

Was that equation you gave me was the orginial question equation?

anonymous · Answer

Yes.  According to the textbook the answer is 81x^20 but I keep getting 81x^11.

anonymous · Answer

How'd you get 9^2x^1?

anonymous · Answer

Because it looks like you've shifted the x that was in the base to the exponent and that's not correct

anonymous · Answer

To my understanding you're supposed to square everything inside the ( ) so that's what I did.  Was that wrong?

anonymous · Answer

@jaeuni You got this!

anonymous · Answer

You are supposed to square everything inside the ()

anonymous · Answer

|dw:1445282688150:dw|