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you are given that x=5^m and y=5^n. write the following n terms of x and y(or both)

1)5^(7m+1)

2)25^(m+n)

3)(1/125)^n

plz can you put the question number before the answer as it will help

thank you

 Apr 15, 2022
 #1
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x = 5^m   y  = 5^n

 

1)  5^(7m + 1) =    5^(7m) * 5   =  (5^m)^7 * 5  =  (x)^7 * 5  =   5x^7

 

2) 25 ^ (m + n)  =  (5^2)^(m + n)  =  (5^2)^m * (5^2)^n  = (5^m)^2 * (5^n)^2  =  x^2* y^2

 

3) ( 1 / 125)^n  =  (1/ 5^3)^n  =  (5^(-3 ) )^n  = ( 5^n)^(-3)  =  y^(-3) 

 

 

cool cool cool

 Apr 15, 2022

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