if (5/2) to the power m+1*(25/4)to the power 2m=(125/8) find the value of m
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1
Answer:
2/5
Step-by-step explanation:
(5/2)^(m+1)*(25/4)^(2m) = 125/8
⇒(5/2)^(m+1)*(5/2)^2(2m) = (5/2)^3
⇒(5/2)^(m+1)*(5/2)^(4m) = (5/2)^3
⇒(5/2)^(m+1+4m) = (5/2)^3
⇒(5/2)^(1+5m) = (5/2)^3
⇒1+5m = 3
⇒5m = 2
∴ m = 2/5
Answered by
0
Answer:
2/5
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