Question

Which expression is equivalent to ^3√216x^27? 6x3 6x9 72x3 72x9

Answer 1

b

Explanation:

Answer 2

To solve this problem you must apply the proccedure shown below:
1. You have the following expression given in the problem above:

`\sqrt[3]{216 x^(27) }`
2. Rewriting the expression we have:

`\sqrt[3]{6^3 x^(27) }`
3. You have that
`6^3` and the exponent
`27` are divisible by index
`3`. Therefore, you have:

`\sqrt[3]{216 x^(27) } =6 x^(9)`
Therefore, as you can see,
the answer is the option, which is:
`6 x^(9)`