Answer:
[tex]16m^{12}n^{8}[/tex]
Step-by-step explanation:
The rule of exponents for powers of powers applies.
[tex](a^b)^c=a^{b\cdot c}\qquad\text{the applicable rule}\\\\(-2m^{3}n^{2})^{4}=(-2)^{4}m^{3\cdot 4}n^{2\cdot 4}\\\\=16m^{12}n^{8}[/tex]
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The rules of exponents are not hard to remember if you recall that an exponent signifies repeated multiplication. That is ...
... a^3 = a·a·a . . . . . . the factor a appears 3 times in the product
so (a^3)^2 = (a·a·a)·(a·a·a) = a^(3·2) = a^6
