How do you write the expression #(-t)(-t)(-t)# using exponents?

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Answer 1 · 2018-03-11T16:47:16

#-t^3#

The product rule, #a^m*a^n = a^(m + n)#, can be applied to this scenario

Imagine each #(-t)^1# on its own to the power of #1#
Since we have #3# of these we would add all the exponents and keep the base, #-t#.

#(-t)^1(-t)^1(-t)^1 = (-t)^(1+1+1)#

or

#-t^1*-t^1*-t^1 = -t^(1+1+1)#

#:. = -t^3#