Question

simplify the equation (4²)⅓×4⅓
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Answer 1

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Answer 2

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

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

$= 4^{\frac{2}{3}} \times 4^{\frac{1}{3}}$

$= 4^{\frac{2}{3} + \frac{1}{3}}$

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

$= 4^{\frac{2+1}{3}} \\= 4^{\frac{3}{3}}\\= 4^{1} \\= 4$

Therefore.,

$\red {Simplification \: of \: ( 4^{2} )^{\frac{1}{3}}\times 4^{\frac{1}{3} }} \green { = 4 }$

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