Question

1. \\(\frac{2s^7}{6s^2}\\)

Explanation:

Step1: Simplify the coefficient

Simplify the fraction of the coefficients $\frac{2}{6}$. We can divide both the numerator and the denominator by their greatest common divisor, which is 2. So $\frac{2\div2}{6\div2}=\frac{1}{3}$.

Step2: Simplify the variable with exponents

For the variable part $s^7$ and $s^2$, we use the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$ (where $a = s$, $m = 7$, $n = 2$). So $s^{7-2}=s^5$.

Step3: Combine the results

Multiply the simplified coefficient and the simplified variable part together. So we get $\frac{1}{3}\times s^5=\frac{s^5}{3}$.

Answer:

$\frac{s^5}{3}$