Question

select the equivalent expression.
\\(\frac{x^{-6}y}{x^{8}y^{6}}\\)
answer attempt 3 out of 3
\\(\frac{1}{x^{14}y^{5}}\\) \\(\frac{1}{x^{14}y^{7}}\\)
\\(x^{14}y^{7}\\) \\(x^{14}y^{5}\\)

Explanation:

Step1: Apply exponent rule for $x$

When dividing exponents with the same base, subtract the denominator exponent from the numerator exponent: $x^{-6 - 8} = x^{-14}$

Step2: Apply exponent rule for $y$

Subtract the denominator exponent from the numerator exponent for $y$: $y^{1 - 6} = y^{-5}$

Step3: Rewrite negative exponents

Negative exponents move the term to the denominator: $x^{-14}y^{-5} = \frac{1}{x^{14}y^{5}}$

Answer:

$\frac{1}{x^{14}y^{5}}$