What is #-3n^-4 * -5n^7#?

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Answer 1 · 2018-05-17T13:34:21

#15n^3#

#-3n^-4 cdot -5n^7#

Recall: #n^x cdot n^y = n^(x + y)#

#-3n^-4 = -3 cdot n^-4#

#-5n^7 = -5 cdot n^7#

Combining both;

#-3 cdot n^-4 cdot -5 cdot n^7#

Combing like terms;

#-3 cdot - 5 cdot n^-4 cdot n^7#

#15 cdot n^(-4 + 7)#

#15cdot n^3#

#15n^3#