Question

In Exercise,Use properties of exponents to simplyfy the expression.
(51/2)(31/2)

Answer 1

Answer:
`10^{(1)/(2)}}`

Explanation:

According to the property of exponents :

`a^m* b^m= (a* b)^m`

(Bases are different but powers are same.)

For example : a.
`2^3* 3^3= (2*3)^(3)= 6^3`

b.
`11^(-2)* 2^(-2)= (11*2)^(-2)=22^(-2)`

The given expression is
`(5^{(1)/(2)})(3^{(1)/(2)})`

By using above property , this will become

`(5*3)^{(1)/(2)}=10^{(1)/(2)}}`

Hence, the simplified expression is
`10^{(1)/(2)}}` .