Question

x^1/2 into x^3/2 into x^4/3 is

options
a. x^10/3
b. x^20/3
c. x^10
d.x^20​

Answer 1

formula :

${a}^{m} \times {a}^{n} = {a}^{m +n }$

${x}^{ \frac{1}{2} } \times {x}^{ \frac{3}{2} } \times {x}^{ \frac{4}{3} } \\ \\ = {x}^{ \frac{1}{2} + \frac{3}{2} + \frac{4}{3} }$

take LCM

$= {x}^{ \frac{1 + 3}{2} + \frac{4}{3} } \\ \\ = {x}^{ \frac{4}{2} + \frac{4}{3} } \\ \\ = {x}^{2 + \frac{4}{3} } \\ \\ = {x}^{ \frac{6 + 4}{3} } \\ \\ = {x}^{ \frac{10}{3} }$

therefore ,

a) x^10/3 is the answer

Answer 2

option a ) x^10/3 is the answer