Question

simplify.
\\(\frac{n^{5}v^{4}}{n^{6}v^{3}}\\)

Explanation:

Step1: Simplify the \( n \)-terms using exponent rule \( \frac{a^m}{a^n}=a^{m - n} \)

For the \( n \)-terms, we have \( \frac{n^{5}}{n^{6}} = n^{5 - 6}=n^{-1}=\frac{1}{n} \)

Step2: Simplify the \( v \)-terms using exponent rule \( \frac{a^m}{a^n}=a^{m - n} \)

For the \( v \)-terms, we have \( \frac{v^{4}}{v^{3}}=v^{4 - 3}=v^{1}=v \)

Step3: Multiply the simplified \( n \)-terms and \( v \)-terms

Multiply \( \frac{1}{n} \) and \( v \), we get \( \frac{v}{n} \)

Answer:

\(\frac{v}{n}\)