Question 1104911
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{{{(2mn^4)^4 * 2m^-1n^2}}}<br>
You need to "distribute" the exponent 4 to all of the factors inside the parentheses:
{{{(2mn^4)^4 = (2^4)(m^4)(n^4)^4 = 16m^4n^16}}}<br>
Then for
{{{(16m^4n^16)*2m^-1n^2}}}
you need to use normal multiplication for the coefficients and your rules of exponents for the variables.
{{{16*2=32}}}; {{{(m^4)(m^-1) = m^(4-1) = m^3}}}; {{{(n^16)(n^2) = n^(16+2) = n^18}}}<br>
The final simplified expression is {{{32m^3n^18}}}