Question

Choose the correct simplification of the expression (5a^7b)^2.
25a^14b^2
25a^9b^2
25a^14b
10a^14b^2

Answer 1

\[5^2a^{7\times 2}b^2\] is a start

Answer 2

well i dont know how to finish it. i dont think re writing the main equation is going to help.

Answer 3

i changed a few things, for example now we have \(5^2\) and \(5^2=25\)

Answer 4

also we have \(7\times 2\) and \(7\times 2=14\)

Answer 5

oh okay. i didnt see that. i still dont have a clue how to do exponents.

Answer 6

so the entire expression becomes
\[25a^{14}b^2\]

Answer 7

oh okay. uhm not entirely sure how u came to that.

Answer 8

i raised everything inside the parentheses to the power of two

Answer 9

and also used \((a^7)^2=a^{7\times 2}=a^{14}\)

Answer 10

oh okay thanks !