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simplify ((mn^3)^2)*(((2^-2)(m^-1)(n^3))^-2)

 Sep 10, 2023
 #1
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Simplified Expression:
((mn^3)^2) * (((2^-2)(m^-1)(n^3))^(-2))

1. Simplify each part separately:
   - (mn^3)^2 becomes m^2n^6.
   - (((2^-2)(m^-1)(n^3))^(-2)) becomes (2^2)(m^1)(n^3).

2. Apply the negative exponent rule:
   - 2^-2 becomes 2^2.
   - m^-1 becomes m^1.
   - n^3 remains n^3.

3. Simplify the remaining exponents:
   - 2^2 is 4.
   - m^1 is m.
   - n^3 remains n^3.

4. Multiply all the simplified terms together:
   4 * m * n^3 * m^2 * n^6.

5. Combine like terms:
   4m^3n^9.

So, the simplified expression is 4m^3n^9.

 Sep 10, 2023

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