Question

(5^m)²×(25)³×125² = 1 find the value for m

Answer 1

(5^m)²x(25)³x(125)²=1
(5^m)²x(5)^6x(5)^6=1
5^2m+6+6=1
5^2m+12=5^0


equating the powers.
2m+12=0
m=-6

Answer 2

Answer:

-6

Step-by-step explanation:

(5^m)2 * (5^2)3 * (5^3)2                 {25 = 5^2; 125 = 5^3}{5^0 = 1}

5^2m * 5^6 *5^6 = 5^0

5^(2m+6+6) = 5^0

5^(2m+12) = 5^0

powers:

2m + 12 = 0

2m = 0-12

2m= -12

m= -12/2

m= -6