Question

Which is equivalent to 243 ^2/5

a. 3
b.6
c.9
d.1w

Answer 1

I hope this helps you



243^2/5


(3^5)^2/5


3^5.2/5


3^2


9

Answer 2

The correct option is c.

Explanation:

The given expression is

`243^{(2)/(5)}`

According to the exponential property:

`x^(mn)=(x^(m))^n`

Using this rule we get

`243^{(2)/(5)}=(243^{(1)/(5)})^2`

`243^{(2)/(5)}=(3)^2`
`(243^{(1)/(5)}=3)`

`243^{(2)/(5)}=9`

The value of given expression is 9. Therefore the correct option is c.