# How do you find the product of (x^5y)/(2z^3)*(18z^4)/(xy)?

Jan 7, 2017

The answer to this question involves rules of exponents and algebra.

#### Explanation:

First, we need to solve the like terms. As you might know, in exponents we subtract the powers while dividing the terms. Hence,

$= {x}^{\text{5-1" y^"1-1" . 18/2 z^"4-3}}$

$= {x}^{4} {y}^{0} . 9 {z}^{1}$

$= {x}^{4.} 9 z$ { because any exponent raised to power zero = 1}

or $9 z {x}^{4}$ is the answer.