# Algebra - simplify the expression (-4p⁵ / 3m²n³)³

by Kelly
(Indiana)

please help. It says, open parenthesis -4p to the 5 power over 3m to the 2 power n to the 3 power close parenthesis to the 3 power

### Comments for Algebra - simplify the expression (-4p⁵ / 3m²n³)³

 Jun 04, 2012 simplify the expression by: Staff Question: by Kelly (Indiana) please help. It says, open parenthesis -4p to the 5 power over 3m to the 2 power n to the 3 power close parenthesis to the 3 power Answer: (-4p⁵ / 3m²n³)³ = (-4p⁵ / 3m²n³) * (-4p⁵ / 3m²n³) * (-4p⁵ / 3m²n³) = [(-4p⁵) * (-4p⁵) * (-4p⁵)] / [(3m²n³) * (3m²n³) * (3m²n³)] = [(-4) * (-4) * (-4) * (p⁵ * p⁵ * p⁵)] / [(3 * 3 * 3) * (m² * m² * m²) * (n³ * n³ * n³)] = [(-64) * (p⁽⁵⁺⁵⁺⁵⁾)] / [27 * m⁽²⁺²⁺²⁾ * n⁽³⁺³⁺³⁾] = [(-64) * p¹⁵] / [27 * m⁶ * n⁹] = [(-64) / 27] * [p¹⁵ / (m⁶n⁹)] = -64p¹⁵ / (27m⁶n⁹) >>> the final answer is: -64p¹⁵ / (27m⁶n⁹) Thanks for writing. Staff www.solving-math-problems.com

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