Question

1. \\(\frac{4a^5}{2a^5}\\)

Explanation:

Step1: Simplify the coefficient

Simplify the fraction of the coefficients: $\frac{4}{2} = 2$.

Step2: Simplify the variable with exponents

Use the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$ for the variable $a$. Here, $m = 5$ and $n = 5$, so $a^{5-5}=a^0 = 1$ (since any non - zero number to the power of 0 is 1).

Step3: Combine the results

Multiply the simplified coefficient and the simplified variable part. We have $2\times1 = 2$.

Answer:

2