(5^m)²×(25)³×125² = 1 find the value for m
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Answered by
4
(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
(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
Answered by
0
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
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