Question

Simplify. Right answer will be given brainliest. :)
(Ignore the option I have chosen, I accidently clicked on an answer before I took a screenshot)

Answer 1

Answer:

Option 1:  $\frac{2x}{3y^{2}z}$

Step-by-step explanation:

Using the Quotient Rule of Exponents:

$\frac{a^{m}}{a^{n}} = a^{(m - n)}$

We could simplify the given exponential expression by reducing the constants and subtracting the exponents of the same base.

$\frac{18x^{2}y}{27xy^{3}z}$

$\frac{9*2*x^{2}y}{9*3*xy^{3}z}$ =  $\frac{2x^{2}y}{3xy^{3}z}$

Subtract the exponents of x, which eliminates x from the denominator.

$\frac{2xy}{3y^{3}z}$

Lastly, subtract the exponents of y.  This process eliminates y from the numerator and leaving y² in the denominator.

$\frac{2x}{3y^{2}z}$ ⇒ This is the simplified form of the given exponential expression. Therefore, the correct answer is Option 1.