Question

im stuck
(x^2y/xy^3)^2

Answer 1

can you write that in the equation editor or using the drawing tool? All those ^'s and parenthesis are really confusing as to where they actually go and what they mean.

Answer 2

I'm guessing they meant \(\frac{x^2 y}{xy^3}^2\)

Answer 3

\[(\frac{ x ^{2}y }{ xy^{3} })^{2}\] I think he meant that?

Answer 4

For all exponents, \(a^n a^m = a^{n+m}\). Apply this to \(\frac{x^2 y}{x y^3}\).
Combine powers. \(\frac{x^2 y}{x y^3} = x^{2-1} y^{1-3}\):
\((x^2-1 y^1-3)^2\)
Evaluate 2-1.
\(2-1 = 1:\)
\((x y^{1-3})^2\)
Evaluate \(1-3\).
\(1-3 = -2:\)
\((x y^{-2})^2\)
Distribute exponents over quotients in \((\frac{x}{y^2})^2.\)
Multiply each exponent in \(\frac{x}{y^2}\) by 2:
\(x^2 y^{-2×2}\)
Multiply 2 and -2 together.
\(2 (-2) = -4:\)

Answer 5

That's what I meant, typo :P forgot the parentheses too haha