Question

(2)½.(4)¾ is equal to ..?​

Answer 1

Answer:

4

Step-by-step explanation:

(2)^1/2.(4)^3/4

(2)^1/2.(2)^2×3/4

(2)^1/2.(2)^3/2

(2)^1/2+3/2

(2)^4/2

(2)^2

4

Answer 2

Given:

$(2)^{\frac{1}{2} }\times (4)^{\frac{3}{4} }$

Here the solution is

$=(2)^{\frac{1}{2} }\times (2^{2} )^{\frac{3}{4} }$

$=(2)^{\frac{1}{2} }\times (2)^{2\times\frac{3}{4} }$

$=(2)^{\frac{1}{2} }\times (2)^{\frac{3}{2}$

We can write it as

$=(2)^{\frac{1}{2} + \frac{3}{2} }$

$=(2)^{\frac{4}{2} }$

=(2)²

=4

Hence (2)½.(4)¾ is equal to 4