Question

Which expression is equivalent to 3^4 ⋅ 3^−9?

1/3^13
1/3^5
3^5
3^13

Answer 1

`{3}^(4) * {3}^( - 9) = {3}^(4) * (1/ {3}^(9)) = {3}^(4) / {3}^(9) \\ {3}^((4 - 9)) = {3}^( - 5) = 1/( {3}^(5) )`
So the 2nd answer is correct: 1 / 3^5