SOLUTION: Solve the following algebraically. Trial and error is not an appropriate method of solution. {{{matrix(2,3,"", "","",x^(3/2), "=",125 )}}}

 

Raise both sides to the power which is the reciprocal
of  power, which is the  power:



Multiply the exponents on the left to remove the
parentheses:



Cancel:



The exponent on the left becomes 



and we can drop the 1 exponent:



Use this rule for the right side:  



Since , , so we have:





Edwin