Question

What is the simplified expression for 3^-4 × 2^3 × 3^2/2^4 × 3^-3?please help me. I don't remember how to do it.

Answer 1

`(3)/(2)`

Explanation:


`(3^-4 * 2^3 * 3^2)/(2^4 * 3^-3)`

`(3^3 * 2^3 * 3^2)/(2^4 * 3^4)` =
`(3^5 * 2^3)/(2^4 * 3^4)` =
`(3)/(2)`

3^-4 = 1/(3^4)

1/(3^-3) = 3^3

3*3*3*3*3*2*2*2

_____________ cross out numbers from top and bottom

2*2*2*2*3*3*3*3