Question

solve : 2raise to power 1.4

Answer 1

CHECK THIS OUT..
I HOPE YOU'LL UNDERSTAND.

Answer 2

Therefore the answer is $2.6390$

Step-by-step explanation:

Given;

$2^{1.4} =?$

Now,

$2^{1.4} =2^{1+\frac{2}{5} }$

$=2^{1} \times2^{\frac{2}{5} }$   (∵ $a^{m+m} =a^{m}\times a^{n}$ )

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

$=2^{\frac{7}{5} }$

$=\sqrt[5]{2^{7} }$  (∵ $a^{\frac{m}{n} } =\sqrt[n]{a^{m} }$ )

$=\sqrt[5]{2^{2}\times2^{5}}$  

$=2\times \sqrt[5]{4}$   (∵$\sqrt[5]{2^{5} } =2$ )

$=2.6390$

So the answer is $2.6390$