We are asked to find the equivalent of the expression given:
(3m⁻² n)⁻³
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6mn⁻²
Perform distribution of power using power rule such as shown below:
3⁻³ m⁻²*⁻³n⁻³
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6mn⁻²
Perform product and quotient rule such as shown below:
m⁶ n²
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3³ *6*m*n³
Simplify,
m⁵
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162n
The answer is m⁵/162n.