Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

Reduce this algebraic fraction.

Answer 1

I gues you want a simplification of the number in the image, you have:

`(27C^4D^5)/(9C^7D^4)`

To solve this i will use that:

(a^x)/(a^y) = a^(x - y)

first, we separte the division into 3 parts, one with the knowed numbers, other with the variable C and other with the variable D.

`(27C^4D^5)/(9C^7D^4) = (27)/(9)*(C^4)/(C^7)*(D^5)/(D^4) = 3C^(4-7) D^(5-4) = 3C^(-3)*D`

this can also be written as:

`(3D)/(C^3)`