Question

simplify. express your answer using positive exponents.
\\(\frac{x^{a}y^{b}}{x^{c}y^{d}}\\)

Explanation:

Step1: Use exponent - division rule

When dividing two terms with the same base \(a^m\div a^n=a^{m - n}\), for the \(x\) - terms: \(x^9\div x^4=x^{9 - 4}\), and for the \(y\) - terms: \(y^3\div y^8=y^{3 - 8}\).

Step2: Simplify the exponents

\(x^{9 - 4}=x^5\) and \(y^{3 - 8}=y^{- 5}\). Since we need positive exponents, \(y^{-5}=\frac{1}{y^5}\).

Step3: Combine the results

The simplified expression is \(\frac{x^5}{y^5}\).

Answer:

\(\frac{x^5}{y^5}\)