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[(2n^3)/(n^3*-m^-2*n^-2)]^-3 Cancel out the n^3 because it is a factor in the numerator and denominator and thus simplifies to 1. Any number divided by itself is 1.
[2/(-m^-2*n^-2)]^-3 Now multiply all the terms' exponents by -3. This is by definition and is an exponent rule. When an exponent gets raised to another exponent you multiply the numbers.
2^-3/(m^6*n^6) Move the 2^-3 to the denominator and make the exponent positive 3. This is because positive and negative exponents are reciprocals.
1/(2^3*m^6*n^6) = 1/(8m^6*n^6) which is the answer.
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