Question

2 power 1/4 x 8 power 1/4

Answer 1

2^1/4 x 8^1/4

(2 x 8)^1/4

(16)^14

= 2

Answer 2

$> > {2}^{ \frac{1}{4}} \times {8}^{ \frac{1}{4} } \\ > > {2}^{ \frac{1}{4} } \times {2}^{(3)( \frac{1}{4}) } \\ > > {2}^{ \frac{1}{4} } \times {2}^{ \frac{3}{4} } \\ > > {2}^{ \frac{1}{4} + \frac{3}{4} } \\ > > {2}^{ \frac{1 + 3}{4} } \\ > > {2}^{ \frac{ \cancel4}{ \cancel4} } \\ > > {2}^{1} = 2$