Question #f6a1b

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Answer 1 · 2016-02-28T12:51:39

#a=27/10#

If the given equation is

#5^(1/5)*5^3/5^(-3/2)=5^(a+2)#

then

#5^(1/5)*5^3*5^(3/2)=5^(a+2)#

#5^(1/5+3+3/2)=5^(a+2)#

if the bases are equal in an equation, then, exponents are equal also.

#1/5+3+3/2=a+2#

solving for a:

#(2+30-20+15)/10=a#

#a=27/10#