Question

1. $-dfrac{70n^2}{28n}$

Explanation:

Step1: Simplify coefficients

Find the greatest common divisor (GCD) of 70 and 28. The GCD of 70 and 28 is 14. Divide numerator and denominator coefficients by 14: $\frac{70\div14}{28\div14}=\frac{5}{2}$.

Step2: Simplify variables

For the variable \(n\), use the rule of exponents \( \frac{n^a}{n^b}=n^{a - b}\). Here, \(a = 2\), \(b = 1\), so \( \frac{n^2}{n}=n^{2 - 1}=n\).

Step3: Combine results

Put the coefficient and variable simplifications together, considering the negative sign: \(-\frac{5}{2}n\).

Answer:

\(-\frac{5}{2}n\)