Answer:
c. 18
Step-by-step explanation:
We have been given an exponential expression [tex]18^{\frac{1}{2}}\cdot 18^{\frac{1}{2}}[/tex]. We are asked to simplify our given expression.
Using exponent rule [tex]a^b\cdot a^c=a^{b+c}[/tex], we will get:
[tex]18^{\frac{1}{2}}\cdot 18^{\frac{1}{2}}=18^{\frac{1}{2}+\frac{1}{2}}[/tex]
[tex]18^{\frac{1}{2}}\cdot 18^{\frac{1}{2}}=18^{\frac{1+1}{2}}[/tex]
[tex]18^{\frac{1}{2}}\cdot 18^{\frac{1}{2}}=18^{\frac{2}{2}}[/tex]
[tex]18^{\frac{1}{2}}\cdot 18^{\frac{1}{2}}=18^1[/tex]
[tex]18^{\frac{1}{2}}\cdot 18^{\frac{1}{2}}=18[/tex]
Therefore, the simplified form of our given expression is 18 and option 'c' is the correct choice.
