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in this video were going to focus on simplifying exponents but lets go over some basic properties what is X to the fourth x x to the fifth what is that equal to whenever you multiply by a common base you need to add the exponents 4 plus 5 is 9 X to the fourth is basically multiplying 4 X variables together and X to the fifth is equivalent to multiplying five X variables together so in total youre multiplying 9 X variables together and so thats why its equal to X to the ninth now what about division lets say if you divide by a common base what should you do with the exponents you need to subtract X it is 7 divided by X to the 3 it needs to subtract 7 by 3 and thats going to be exit for X to the 7 is equivalent to 7 X variables multiplied to each other and X cubed is simply x times X times X so we can cancel 3 X variables which well leave behind for X variables on top and so thats the answer theres another one what is X to the third raised to the fourth power what should we do