Question

which is equivalent to $216^{\frac{1}{3}}$?\
\bigcirc 3\
\bigcirc 6\
\bigcirc 36\
\bigcirc 72

Explanation:

Step1: Recall exponent rule

A fractional exponent $\frac{1}{n}$ means the $n$-th root: $a^{\frac{1}{n}} = \sqrt[n]{a}$
So $216^{\frac{1}{3}} = \sqrt[3]{216}$

Step2: Find cube root of 216

Find a number $x$ such that $x^3 = 216$. Calculate $6^3 = 6\times6\times6 = 216$.

Answer:

B. 6