Question

The value of 2 power 1\2. 4 power 3\4 is​

Answer 1

Step-by-step explanation:

2^1/2 × 4^3/4

=√2 × (2^2)^1/4

=√2 × 2^1/2

=√2 × √2

=√(2×2)

=√4

=2 Answer

Answer 2

$2^ {1/2} * 4^{3/4}\\2^{1/2}*(2^{2})^{3/4}\\2^{1/2}*2^{3/2} ---------------((a^{m}^{n} = a^{m*n})\\2^{1/2+3/2}---------------------(a^{m}*a^{n}= a^{m+n})\\2^{4/2}\\2^{2}\\4$