SOLUTION: Fill in the blank to make equivalent rational expressions. 8/3x^5 = ?/3x^7 Trying to solve for the question mark. Thank you

Click here to see ALL problems on Polynomials-and-rational-expressions

Question 948613: Fill in the blank to make equivalent rational expressions.
8/3x^5 = ?/3x^7
Trying to solve for the question mark. Thank you
Found 2 solutions by Fombitz, Theo:
Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
your equation is:

8/3x^5 = ?/3x^7

cross multiply to get 8 * 3x^7 = ? * 3x^5

divide both sides of the equation by 3x^5 to get:

(8 * 3x^7) / (3x^5) = ?

simplify to get 8 * x^2 = ?

that' your answer.

? = 8x^2

your equation becomes:

8 * 3x^7 = 8x^2 * 3x^5

8 * 3x^7 is equal to 24x^7

8x^2 * 3x^5 is equal to 24x^7

both sides of the equation are equal to each other confirming that ? = 8x^2

note that 8 * 3x^7 / 3x^5 is equal to 8 * 3/3 * x^7/x^5 which is equal to 8 * 1 * x^(7-5) which is equal to 8 * x^2 which is equal to 8x^2.

note also that 8x^2 * 3x^5 is equal to 8 * 3 * x^2 * x^5 which is equal to 24 * x^(2+5) which is equal to 24 * x^7 which is equal to 24x^7.