Question

simplify. \\(\dfrac{36y^2z}{4xy^2z}\\)

Explanation:

Step1: Simplify coefficients

Simplify the fraction of the coefficients \( \frac{36}{4} \).
\( \frac{36}{4} = 9 \)

Step2: Simplify variables

For the variables, we have \( y \) and \( z \) in both numerator and denominator, and \( x \) only in the denominator. Using the rule of exponents \( \frac{a^m}{a^n}=a^{m - n} \) (when \( m\geq n \)), for \( y \): \( \frac{y}{y}=y^{1 - 1}=y^{0} = 1 \) (assuming \( y
eq0 \)), for \( z \): \( \frac{z}{z}=z^{1 - 1}=z^{0}=1 \) (assuming \( z
eq0 \)). And the \( x \) remains in the denominator.

Combining these, we get \( \frac{9\times1\times1}{x}=\frac{9}{x} \)

Answer:

\( \frac{9}{x} \)