Question

4^1/3×[2^1/3×3^1/2]÷9^1/4​

Answer 1

Answer:

2

Step-by-step explanation:

=2^(2×1/3)×[2^1/3 × 3^1/2]/3^(2×1/4)

=(2^2/3×2^1/3×3^1/2)/3^1/2

=2^2/3×2^1/3

=2^(2/3 +1/3)

=2^3/3

=2^1

=2

mark brainliest

Answer 2

$\LARGE{\underline{\red{\sf{Required\:answer:}}}}$

${4}^{ \frac{1}{3} } \times ( {2}^{ \frac{1}{3} } \times {3}^{ \frac{1}{2} } ) \div {9}^{ \frac{1}{4} } \\ = { ({2}^{2}) }^{ \frac{1}{3} } \times {2}^{ \frac{1}{3} } \times {3}^{ \frac{1}{2} } \div { ({3}^{2} )}^{ \frac{1}{4} } \\ = \frac{ { ({2}^{2}) }^{ \frac{1}{3} } \times {2}^{ \frac{1}{3} } \times {3}^{ \frac{1}{2} } }{ { ({3}^{2}) }^{ \frac{1}{2} } } \\ = \frac{ {2}^{ \frac{2}{3} } \times {2}^{ \frac{1}{3} } \times {3}^{ \frac{1}{2} } }{ {3}^{ \frac{1}{2} } } \\ = {2}^{ \frac{2}{3} + \frac{1}{3} } \times {3}^{ \frac{1}{2} - \frac{1}{2} } \\ = {2}^{ \frac{2 + 1}{3} } \times {3}^{0} \\ = {2}^{ \frac{3}{3} } \times 1 \\ = {2}^{1} \times 1 \\ = 2$

$\LARGE{\underline{\blue{\sf{hope \: it \: helps \: u \: \:}}}}$