[ 9 ^ 4 2 #160; ÷ #160; 27 ^ 2 _ 3 ] × 3 ^ 3 2 #160; =[ 3 ^ 2× 4 _ 2 ÷ 3 ^ 3× 2 3 #160; ] ×( √( 3 ) #160; ) #160; ^ 2× 3 2 #160; ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Powers and Exponents

943÷ 2723× 33...

Question

$(9^{\frac{4}{3}} \div 27^{\frac{2}{3}}) \times 3^{\frac{3}{2}}$

Open in App

Solution

$⎡ ⎢ ⎣ 9^{\frac{4}{2}} \div 27^{2_{3}} ⎤ ⎥ ⎦ \times 3^{\frac{3}{2}} = ⎡ ⎢ ⎣ 3^{{2 \times 4}_{2}} \div 3^{3 \times \frac{2}{3}} ⎤ ⎥ ⎦ \times {(\sqrt{3})}^{2 \times \frac{3}{2}}$
$= [3^{4} \div 3^{2}] \times ({\sqrt{3}}^{3})$
$= (81 \div 9) \times 3 \sqrt{3} = 9 \times 3 \sqrt{3}$
$= 27 \sqrt{3}$

Suggest Corrections

Similar questions

According to 2011 census, the sex ratio of India is 943. What does 943 indicate?

39^{53} \times 27^{23} \times 36^{12}

{(106)}^{3} - {(94)}^{3}

\to a = 2^i + 3^j - 6^k, \to b = 2^i - 3^j + 6^k

\to c = - 2^i + 3^j + 6^k

{\to a}_{1}

\to a

\to b

{\to a}_{2}

{\to a}_{1}

\to c

{\to a}_{2}

Velocity of sound in air is 332 m/s. Its velocity in vacuum will be

Join BYJU'S Learning Program