5^(2n-1) = 2 => 25^(3n-2)= ?

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Answer 1 · 2017-05-06T09:12:42

#25^(3n-2)=8/5#

#5^(2n-1)=2" "rArr " "25^(3n-2=?#

#"let us rearrange the the expression of "5^(2n-1)=2#

#5^2n-1=5^(2n)*5^(-1)=5^(2n)/5#

#5^(2n)/5=2#

#5^(2n)=10#

#"now ,let us rearrange the expression o f "25^(3n-2#

#25^(3n-2)=5^(2(3n-2))=5^(6n-4)=5^(6n)*5^(-4)=5^(6n)/5^4#

#=(5^(2n)*5^(2n)*5^(2n))/5^4=(10*10*10)/5^4=1000/625=8/5#