Question

Choose the correct simplification of the expression (5x^5)^2 5x^25 10x^10 25x^7 25x^10

Answer 1

`25x^(10)`

Explanation:

`(5x^5)^2\\\\\text {Apply Rule: }(a*b)^n=a^n b^n\\\\(5x^5)^2=5^2(x^5)^2\\\\25(x^5)^2\\\\\text {Apply rule: } (a^b)^c=a^(bc)\\\\25(x^5)^2=\boxed{25x^(10)}`