Thank you for the opportunity to help you with your question!

[(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.

Please let me know if you need any clarification. I'm always happy to answer your questions.

Oct 28th, 2015

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