Question

simplify (2) 2/3. (2)1/5.​

Answer 1

IF 2/3 AND 1/5 ARE POWERS (EXPONENTS):

2^2/3 × 2^1/5

When bases are same, powers are added.

2^ 2/3 + 1/5

2^ 10+3/15

2^ 13/15

IF 2/3 AND 1/5 ARE BASES (NORMAL NUMBERS):

2×2/3 × 2×1/5

4/3 × 2/5

8/15

I hope this helps : )

Answer 2

Answer:

$2 \ \frac{2}{3} \times 2 \ \frac{1}{5} \\ = 2 ( \frac{2}{3 } + \frac{1}{5} ) \\ = 2( \frac{2 \times 5 + 1 \times 3}{3 \times 5} ) \\ = 2( \frac{10 + 3}{15} ) \\ = 2 \ \frac{13}{15}$