Simplify the following expression:(2x3y)4(2xy2)3

Sure, let's simplify the expression step by step:

Given expression: (2x^3y)^4 * (2xy^2)^3

Step 1: Apply the power of a power rule (a^(m*n) = (a^m)^n) to each term:

= (2^4 * x^(34) * y^4) * (2^3 * x^3 * y^(23))

Step 2: Simplify the exponents:

= (16 * x^12 * y^4) * (8 * x^3 * y^6)

Step 3: Multiply the like terms:

= 128 * x^(12+3) * y^(4+6)

Step 4: Simplify the exponents:

= 128x^15y^10

So, the simplified form of the given expression (2x^3y)^4 * (2xy^2)^3 is 128x^15y^10.