Question

find the value of 3^3×6^2/2^2×3^1/3​

Answer 1

${3}^{3} \times \frac{ {6}^{2} }{ {2}^{2} } \times {3}^{ \frac{1}{3} }$

${3}^{3 + \frac{1}{3} } \times {( \frac{6}{2} )}^{2}$

${3}^{ \frac{10}{3} } \times {3}^{2}$

${3}^{ \frac{10}{3} + 2}$

${3}^{ \frac{16}{3} }$

$\sqrt[3]{ {3}^{16} }$

${3}^{5} \sqrt[3]{3}$

$243 \sqrt[3]{3}$

$350.46665 \: (approximtately)$

Answer 2

Answer:

3 ^ (14/3)

Step-by-step explanation:

3^ (3) * 6^ (2)

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

3^ (3) * 36

4 * 3^ (1/3)

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

ON ADDING THE POWERS

3+2- (1/3) = 14/3

And there comes the answer

3 ^ (14/3)