Answer:
Option (b) is correct.
\((216)^{\frac{1}{3}}=6\)
Step-by-step explanation:
Given: 216 power of 1/3
We have to find an equivalent number to 216 power of 1/3
Consider 216 power of 1/3
Writing mathematically as, \((216)^{\frac{1}{3} }\)
Also, 216 can be written as product of 6 three times that is 6× 6 × 6
Thus, \((216)^{\frac{1}{3}}=(6\times 6\times 6)^{\frac{1}{3}}\)
Simplify, we get,
\((6\times 6\times 6)^{\frac{1}{3}}=(6^3)^{\frac{1}{3}}\)
Apply property of exponents, we have,
\((a^n)^m=a^{nm}\)
\((6^3)^{\frac{1}{3}}=6^{\frac{3}{3}}=6\)
Thus, \((216)^{\frac{1}{3}}=6\)
Option (b) is correct.
