Question

(2) power of 2/3 × (2) power of 1/5​

Answer 1

Answer:

2^(13/15).

Step-by-step explanation:

2^(2/3)*2^(1/5)

when bases are equal powers must be added

(2/3)+(1/5)

=10+3/(15)

13/15

answer is2^(13/15).

Answer 2

$Given \: 2^{\frac{2}{3}} \times 2^{\frac{1}{5}}$

$= 2^{\frac{2}{3} + \frac{1}{5}}$

/* By Exponential Law */

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

$= 2^{ \frac{10+3}{15}}$

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

Therefore.,

$\red{2^{\frac{2}{3}} \times 2^{\frac{1}{5}}}$

$\green {= 2^{ \frac{13}{15}}}$

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