(3x^2 y^5 )^3/(2xy^3 )^4
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the equation:
(3x^2 y^5)^3/(2xy^3)^4
Simplify
Solution:
In order to simplify the given equation, we simply apply the rules of exponents for the given. The rules of exponent states that when a number with a degree is raised to another degree enclosed by a parenthesis, we simply need to multiply the degrees.
(3x^2 y^5)^3
= 27x^6y^15
(2xy^3)^4
= 16x^4y^12
Equate the values back in one solution, hence we can simplify further by cancelling out the degrees of the numerator.
= 27x^6y^15/16x^4y^12
= 27x^2y^3
Final answer:
= 27x^2y^3