Question

Simplify 27 power 1 upon 3 multiply 4 power 1 upon 2

Answer 1

$Value \: of \: 27^{\frac{1}{3}} \times 4^{\frac{1}{2}} \\= (3^{3})^{\frac{1}{3}} \times (2^{2})^{\frac{1}{2}}$

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

$By \: Exponential \:Law :$

$\boxed { \pink { (a^{m})^{n} = a^{m\times n }}}$

$= 3 \times 2 \\= 6$

Therefore.,

$\red { Value \: of \: 27^{\frac{1}{3}} \times 4^{\frac{1}{2}} } \green { = 6 }$

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