How do you simplify # x^-4x^-7x^5#?

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Answer 1 · 2016-03-22T13:57:39

#x^-6#

When two similar numbers are multiplied, their powers can be added.

Therefore:
#x^-4*x^-7*x^5 = x^(-4-7+5)#
#=x^-6#

which can then be further simplified to a term without negative exponents as #1/x^6#

How do you simplify # x^-4*x^-7*x^5#?