Simplify 4(3x^2y^4)^3 / (2x^3y^5)^4

You should use order of operations to simplify the equation. Here's the math:

 

Let's work on one equation at a time, first this one: 



Distribute the exponent (³) to all the terms within the parentheses:



Remember to multiply the exponents for variables. Now, simplify the terms:



Distribute  to all the terms in parentheses:



Now, let's work on the second expression: 



First, distribute the exponent  to the terms in parentheses:



Simplify by multiplying the exponents:



Now, we can find the quotient of the two expressions:



Separate the  terms in the denominator into factors that go into the numerator:



Divide:



Distribute :



Separate the  terms in the denominator into factors that go into the numerator:



Divide:



Simplify:



Hope this helps!