Question

Simplify.

Please select the best answer from the choices provided

Answer 1

`18^{(1)/(2)} * 18^{(1)/(2)} = 18^{(2)/(2)} = 18^(1) = 18`

Answer 2

c. 18

Explanation:

We have been given an exponential expression
`18^{(1)/(2)}\cdot 18^{(1)/(2)}`. We are asked to simplify our given expression.

Using exponent rule
`a^b\cdot a^c=a^(b+c)`, we will get:

`18^{(1)/(2)}\cdot 18^{(1)/(2)}=18^{(1)/(2)+(1)/(2)}`

`18^{(1)/(2)}\cdot 18^{(1)/(2)}=18^{(1+1)/(2)}`

`18^{(1)/(2)}\cdot 18^{(1)/(2)}=18^{(2)/(2)}`

`18^{(1)/(2)}\cdot 18^{(1)/(2)}=18^1`

`18^{(1)/(2)}\cdot 18^{(1)/(2)}=18`

Therefore, the simplified form of our given expression is 18 and option 'c' is the correct choice.