Question

simplify (3^(1/2)*3^(-1/3))/(2^(-1/2)*2^(1/3))

Answer 1

\[(3^\frac12 \times3^{\frac-1}{3} \div (2^\frac{-1}{2}\times 2^\frac13)\]Like that?

Answer 2

yes, except the 2nd exponent listed has a typo

Answer 3

\[\Huge (3^\frac12 \times 3^{\frac {-1}{3}} \div (2^\frac{-1}{2}\times 2^\frac13)\]

Answer 4

like that right?

Answer 5

yes

Answer 6

\[\huge 3^{\frac13 + \frac{-1}{3}} \div 2^{\frac{-1}{2}+\frac13}\]Solve..

Answer 7

do you know the property of exponents ?

Answer 8

when we need multiply the same terms on exponents those exponents are assumed

Answer 9

1/3 + (-1/3) = ??? is the same like (+1) + (-1) = ???