Question

Simplify $(9^{4/3}÷{27}^{2/3})\times 3^{3/2}$

• A. $3^{9/5}$
• B. $3^{13/6}$
• C. $3^{37/6}$
• D. None of these

Answer 1

Answer: (B)

$3^{13/6}$

$({\left(3^2\right)}^{4/3}÷{\left(3^3\right)}^{2/3})\times 3^{3/2}$
$=3^{8/3}÷3^2\times 3^{3/2}$
$=3^{8/3-2+3/2}$
$=3^{\frac{16-12+9}{6}}$
$=3^{13/6}$