Question

multiply x^3/4 x x^1/5
x^4/9
x^3/20
x^11/20
x^19/20

Answer 1

everything is multiplying so you add all those exponents

Answer 2

When multiplying, exponents add. Thus
\[x^{\frac 34} \times x^{\frac 15} = x^{\frac 34 + \frac15}\]\[= x^{\frac{3\times5+1\times4}{20}}\]\[=x^{\frac{19}{20}}\]