What does 3^4x2^3x5^2/3^2x5x2^3 equal?
Using the method of sorting the bases and subtracting the exponents.
If your expression mean:
( 3 ^ 4 * 2 ^ 3 * 5 ^ 2 ) / ( 3 ^ 2 * 5 * 2 ^ 3 )
Then:
( 3 ^ 4 * 2 ^ 3 * 5 ^ 2 ) / ( 3 ^ 2 * 5 2 ^ 3 ) =
( 81 * 8 * 25 ) / ( 9 * 5 * 8 ) =
81 * 25 / ( 9 * 5 ) =
( 9 * 9 * 5 * 5 ) /( 9 * 5 ) =
9 * 5 = 45
________________________________________
Remark:
3 ^ 4 = 81
2 ^ 3 = 8
5 ^ 2 = 25
3 ^ 2 = 9
________________________________________