Math, asked by lisa25, 1 year ago

simplify:2^2/3.2^1/5

Answers

Answered by DaIncredible
171
Hey friend,
Here is the answer you were looking for:
 {2}^{ \frac{2}{3} }  \times  {2}^{ \frac{1}{5} }  \\  \\ using \: the \: identity \:   \\  {a}^{m}   +  {a}^{n} =  {a}^{m + n}   \\ \\  =  {2}^{ \frac{2}{3} +  \frac{1}{5}  }  \\  \\  =  {2}^{ \frac{2 \times 5 + 1 \times 3}{15} }  \\  \\  =  {2}^{ \frac{10 + 3}{15} }  \\  \\  =  {2}^{ \frac{13}{15} }

Hope this helps!!

@Mahak24

Thanks...
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Answered by Dhruvisbest
27

Answer:

(2)^13/15

Step-by-step explanation:

(2)^2/3×(2)^1/5

(2)^2/3+1/5

(2)^10+3/15

(2)^13/15

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