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Exponential Representation for Irrational Numbers

Simplify 22...

Question

Simplify $2^{2 / 3} . 2^{1 / 5}$

A

2^{\frac{13}{15}}

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B

2^{\frac{2}{15}}

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C

2^{\frac{2}{5}}

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D

None of the above

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Solution

The correct option is A $2^{\frac{13}{15}}$
$2^{2 / 3} . 2^{1 / 5} = 2^{\frac{2}{3} + \frac{1}{5}} = 2^{\frac{10 + 3}{15}} = 2^{\frac{13}{15}}$

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