Question

(a^xb^yc^z)(a^rb^sc^t) someone please help

Answer 1

If you're just supposed to expand, then start by grouping together terms of the same base.

$(a^xb^yc^z)(a^rb^sc^t)=(a^xa^r)(b^yb^s)(c^zc^t)$

which is true since multiplication is commutative/associative. By definition of exponentiation, we have

$a^xa^r=a^{x+r}$

and the same goes for the remaining bases. So the fully simplified form of the expression above would be

$a^{x+r}b^{y+s}c^{z+t}$