Question

Choose the correct simplification of the expression (5xy5)2(y3)4.

Answer 1

We know that:
x^n * x^m = x^(m+n) and ( x^m )^n = x^(mn)
$(5xy ^{5} ) ^{2} *(y ^{3}) ^{4}= \\ =25 x^{2} y ^{10}*y^{12}= \\ =25 x^{2} y^{22}$