Question

What is the simplified expression for 3 to the power of negative 4 multiplied by 2 to the power of 3 multiplied by 3 to the power of 2 whole over 2 to the power of 4 multiplied by 3 to the power of negative 3?

3 over 2
3 to the power of 2 over 2 to the power of 2
3 to the power of 2 over 2
2 to the power of 4 over 3

Answer 1

The answer is in the picture

Answer 2

Answer: Hello!

The equation described is:

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

You can use the next relations to simplify it a bit:

`x^(-a) = (1)/(x^(a) )`

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

Then our equation results in:

`(3^(-4) *2^(3)*3^(2)  )/(2^(4)*3^(-3)  ) = 3^(-4) *2^(3)*3^(2) *2^(-4)*3^(3) = 3^(-4 +2 + 3)*2^(3 - 4) = 3^(1) *2^(-1)  = (3)/(2)`

Then the correct answer is the first option.