How do I simplify #(t^3)(t^(n-3))#?

1 Answer
George C.
Jul 26, 2015

#(t^3)(t^(n-3)) = t^(3+(n-3)) = t^n#

with some restrictions...

Explanation:

With certain restrictions, #a^b*a^c = a^(b+c)#

If #t = 0# then we require #n-3 > 0#, that is #n > 3#, in order that #t^(n-3)# be defined.

If #t < 0# then both the left and right sides of the equation are only defined if #n in ZZ#, but perhaps the variable name #n# is supposed to imply that anyway.

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