Question

simplify.
\\(\frac{35x^{2}y}{30xy}\\)

Explanation:

Step1: Simplify coefficients

Simplify the fraction of the coefficients 35 and 30 by dividing both by their greatest common divisor, which is 5.
$\frac{35}{30} = \frac{35\div5}{30\div5} = \frac{7}{6}$

Step2: Simplify $x$ terms

For the $x$ terms, use the rule of exponents $\frac{x^m}{x^n}=x^{m - n}$. Here, $m = 2$ and $n = 1$, so $\frac{x^2}{x}=x^{2 - 1}=x$

Step3: Simplify $y$ terms

For the $y$ terms, using the same exponent rule, $\frac{y}{y}=y^{1 - 1}=y^0 = 1$ (since any non - zero number to the power of 0 is 1)

Step4: Multiply the simplified parts

Multiply the simplified coefficient, $x$ term, and $y$ term together: $\frac{7}{6}\times x\times1=\frac{7x}{6}$

Answer:

$\frac{7x}{6}$