Simplify the following rational expression : ((x²y)²(xy)³z²)/((xy²)²yz).

= x⁵z

Step-by-step explanation:

Expression given in the question:

now,

when the power is applied to the number with power, the power of the number gets multiplied i.e

(Xᵃ)ᵇ = Xᵃᵇ

The number having same base when multiplied together, the powers of the numbers gets added

Xᵃ × Xᵇ = Xᵃ⁺ᵇ

and,

The number having same base are when divided , the powers of the numbers gets subtracted

= Xᵃ⁻ᵇ

thus using the above property, we get

⇒

or

⇒

or

⇒  

or

⇒  

or

⇒  

or

⇒  

or

⇒  

or

⇒ x⁵z

180

step-by-step explanation:

the radius is 2 times the diameter.

step-by-step explanation: