Question

Which of the following would be equivalent to 3^2 ⋅ 3^5?

3^ 10 3 ^ 3
3^ 10 3 ^ 7
31 ⋅ 37
30

Answer 1

Formula

`a^x*a^y=a^(x+y)`


`3^2*3^5=3^(2+5)=3^7=(3^(10))/(3^3)`

3 to the 10th power over 3 to the 3rd power

because

`(3^(10))/(3^3)=3^(10-3)=3^7`