Question

Which is equivalent to 216^1/3

Answer 1

Answer:

6

Step-by-step explanation:

Answer 2

For this case we must find an expression equivalent to:

$216 ^ {\frac {1} {3}$

So, we can rewrite the 216:

$216 = 6 * 6 * 6 = 6 ^ 3$

Rewriting the expression:

$(6 ^ 3) ^ {\frac {1} {3}=$

By definition of power properties we have:

$(a ^ n) ^ m = a ^ {n * m}$

So:

$6 ^ {\frac {3} {3}} =\\6 ^ 1 =\\6$

Answer:

$216 ^ {\frac {1} {3}}= 6$