Question 132016
{{{(-4x)^2(2x^6)^3}}} Start with the given expression



{{{(-4)^2x^2(2^3x^(6*3))}}} Distribute the exponents. Remember {{{(x^y)^z=x^(y*z)}}}



{{{16x^2(8x^18)}}} Multiply evaluate the exponents



{{{16*8*x^(2+18)}}} Multiply the two expressions by adding the exponents and multiplying the coefficients



{{{128*x^20}}} Multiply and add



So {{{(-4x)^2(2x^6)^3}}} simplifies to {{{128*x^20}}}