Question

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

Answer 1

Answer:

$25x^{10}$

Step-by-step explanation:

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