[(5a)^x]^3b/(5a)^2bx.(4c)^bx
To simplify the expression [(5a)^x]^3b / (5a)^2bx . (4c)^bx, we can follow the order of operations (PEMDAS).
Step 1: Simplify any exponents within each expression.
[(5a)^x]^3b can be simplified as (5a)^(x*3)b = (5a)^(3x)b
(5a)^2bx can be simplified as (5a)^(2bx)
(4c)^bx remains the same as it does not have any exponents within it.
Step 2: Combine the expressions by multiplying.
(5a)^(3x)b / (5a)^(2bx) * (4c)^bx
= [(5a)^(3x)b * (4c)^bx] / (5a)^(2bx)
Now, if you have any specific values for variables a, b, c, and x, you can substitute those values to further simplify the expression. However, if you are looking for a general simplification, this is as far as we can go without values for the variables.