Question

select the equivalent expression.
\\(\frac{x^2y^3}{x^{-1}y^{-7}}\\)
answer attempt 1 out of 3
\\(x^3y^{10}\\) \\(\frac{1}{x^3y^4}\\) \\(\frac{1}{x^3y^{10}}\\) \\(x^3y^4\\)

Explanation:

Step1: Apply exponent quotient rule

Recall $\frac{x^a}{x^b}=x^{a-b}$. For $x$-terms:
$x^{2 - (-1)} = x^{2+1}=x^3$
For $y$-terms:
$y^{3 - (-7)} = y^{3+7}=y^{10}$

Step2: Combine simplified terms

Multiply the simplified $x$ and $y$ terms:
$x^3 \cdot y^{10}$

Answer:

A. $x^3y^{10}$