Question

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

Answer 1

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^"5-1" y^"1-1" . 18/2 z^"4-3"`

`=x^4 y^0 . 9z^1`

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

or `9zx^4` is the answer.