Question 1098110
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The expression (a * b)^n means we have n copies of (a*b) multiplied together, where n is a positive integer.


Let's say for example we have (a*b)^3
That leads to 3 copies of (a*b) multiplied
(a*b)^3 = (a*b)*(a*b)*(a*b)


Then use the commutative property of multiplication
a*b = b*a


So,
(a*b)*(<font color=red>a*b</font>)*(a*b)
is the same as
(a*b)*(<font color=red>b*a</font>)*(a*b)


Then we use the associative property of multiplication
(a*b)*(b*a)*(a*b)
becomes
a*(b*b)*a*(a*b)


Use the associative and commutative properties to rearrange terms so that we end up with 
(a*a*a)*(b*b*b)
that condenses down into
a^3*b^3


This example shows that (a*b)^3 = a^3*b^3


This can be extended more generally to (a*b)^n = a^n*b^n
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