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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

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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
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