Simplify (3m)^-2

Problem

(3*m)(−2)

Solution

1. Apply the negative exponent rule, which states that a(−n)=1/(an)

1/((3*m)2)

2. Apply the power of a product rule, which states that (a*b)n=an*bn

1/(3*m2)

3. Evaluate the numerical power by calculating 3=9

1/(9*m2)

Final Answer

(3*m)(−2)=1/(9*m2)

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