show me how to solve for m in the following: x^2m * x^5= X^25

Question

 please show the steps to solve, thanks

x^2m * x^5= X^25

Answer 1

Hi Norma, I'm just down the road from you in not-very-sunny Alpharetta!

 

When you multiply variables, you add the exponents so

x^2m * x⁵ = x²⁵ 

 

is the same as

x^{2m + 5} = x²⁵

 

Since you want the exponents to be equal you can say

 

2m + 5 = 25

2m = 20

m = 10