Simplify (3m)^-2

Problem

(3*m)^(−2)

Solution

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

1/((3*m)^2)

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

1/(3^2*m^2)

3. Evaluate the numerical power by calculating 3^2=9

1/(9*m^2)

Final Answer

(3*m)^(−2)=1/(9*m^2)

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