Question

Simplify. Please select the best answer from the choices provided

Answer 1

$18^{\frac{1}{2}} * 18^{\frac{1}{2}} = 18^{\frac{2}{2}} = 18^{1} = 18$

Answer 2

Answer:

c. 18

Step-by-step explanation:

We have been given an exponential expression $18^{\frac{1}{2}}\cdot 18^{\frac{1}{2}}$. We are asked to simplify our given expression.

Using exponent rule $a^b\cdot a^c=a^{b+c}$, we will get:

$18^{\frac{1}{2}}\cdot 18^{\frac{1}{2}}=18^{\frac{1}{2}+\frac{1}{2}}$

$18^{\frac{1}{2}}\cdot 18^{\frac{1}{2}}=18^{\frac{1+1}{2}}$

$18^{\frac{1}{2}}\cdot 18^{\frac{1}{2}}=18^{\frac{2}{2}}$

$18^{\frac{1}{2}}\cdot 18^{\frac{1}{2}}=18^1$

$18^{\frac{1}{2}}\cdot 18^{\frac{1}{2}}=18$

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