what is the simplified base of the function $f(x)=\frac{1}{4}(sqrt3{108})^x$?\n3\n$3sqrt3{4}$\n$6sqrt3{3}$\n27
what is the simplified base of the function $f(x)=\frac{1}{4}(sqrt3{108})^x$?\n3\n$3sqrt3{4}$\n$6sqrt3{3}$\n27
Answer
Explanation:
Step1: Prime - factorize 108
$108 = 2^2\times3^3$
Step2: Simplify the cube - root
$\sqrt[3]{108}=\sqrt[3]{2^2\times3^3}=3\sqrt[3]{4}$
Answer:
B. $3\sqrt[3]{4}$