Step-by-step explanation:
when having an exponent of an exponent, the exponents are simply multiplied.
so, here we have 3/4 × 2/3 = (3×2)/(4×3) = 6/12 = 1/2
so, simplified, we have 5^(1/2).
now, a fraction as exponent indicates a root to be taken. which root is identified by the denominator of the fraction.
here this is 2 (of 1/2). so we need to take the square root.
therefore
[tex] \sqrt{5} [/tex]
is the right answer.
