Question

select the equivalent expression.
\\(\frac{x^{8}y^{-2}y^{2}}{x^{-4}}\\)
answer attempt 1 out of 3
\\(x^{12}\\) \\(\frac{y^{4}}{x^{12}}\\)
\\(\frac{x^{12}}{y^{4}}\\) \\(\frac{1}{x^{12}}\\)

Explanation:

Step1: Simplify y terms

$y^{-2}y^{2}=y^{-2+2}=y^{0}=1$

Step2: Rewrite denominator x term

$\frac{x^8}{x^{-4}}=x^{8-(-4)}$

Step3: Calculate x exponent

$x^{8+4}=x^{12}$

Answer:

$x^{12}$