How do you simplify #a^5a^-9a^3#?

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Answer 1 · 2018-05-29T13:51:15

#a^-1#

Given: #a^5*a^-9*a^3#

Use the algebraic property which states that #a^b*a^c*a^d=a^(b+c+d)#.

So here we have:

#=a^(5+(-9)+3)#

#=a^(-4+3)#

#=a^-1#

How do you simplify #a^5*a^-9*a^3#?