simplify (2x)^4

To simplify (2x)^4, we need to raise 2x to the 4th power. This means multiplying 2x by itself four times.

(2x)^4 = (2x)(2x)(2x)(2x)

Simplifying each pair of parentheses, we have:

= (4x^2)(4x^2)

Multiplying the coefficients and multiplying the variables, we get:

= 16x^4