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x^1/2 times x^1/3
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=x^5/6
add the exponents. x^(5/6)
because x^1/3.x^1/2 means addition of powers so 1/3+1/2= 2/6+3/6=5/6 => x^5/6
x^a * x^b= x^(a+b) (x^a)^b=x^(a*b)
because x^1/3.x^1/2 means addition of powers so 1/3+1/2= 2/6+3/6=5/6 => x^(5/6)
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