document.write( "Question 637328: solve 5root5*5^3/5^(-3/2)=5^(x+2) \n" ); document.write( "

Algebra.Com's Answer #401583 by DrBeeee(684) $\"\"$ $\"About$

You can put this solution on YOUR website!
Just follow the rules of exponents to simplify the left side to
\n" ); document.write( "5^[(1-9/10)/5] = 5^(1/50)
\n" ); document.write( "The right side is 5^(x+2)
\n" ); document.write( "Equate 5^(1/50) = 5^(x+2) yields
\n" ); document.write( "x+2 = 1/50
\n" ); document.write( "x = 1/50 - 2
\n" ); document.write( "x = -99/50
\n" ); document.write( "Always (if possible) check your answer by placing your answer into the ORIGINAL equation to see if you get an agreement.
\n" ); document.write( "LS = 5^(1/50) as above
\n" ); document.write( "RS = 5^(x+2)
\n" ); document.write( "RS = 5^[(-99/50)+2]
\n" ); document.write( "RS = 5^[(-99+100)/50]
\n" ); document.write( "RS = 5^(1/50)
\n" ); document.write( "LS = RS
\n" ); document.write( "Your answer is x = -99/50 \n" ); document.write( "

\n" );