Question

Simplify the equation √3^15

Answer 1

the answer is D. 3^7√3

Explanation:

Answer 2

For this case we have to define properties of powers and roots:

`\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}`

We also have to:

`3 ^ {15} = 3 ^ {14} * 3`

So:

`\sqrt {3 ^ {15}} = \sqrt {3 ^ {14} * 3} = 3 ^ {\frac {14} {2}} * \sqrt {3} = 3 ^ 7 * \sqrt {3}`

Answer:

`3 ^ 7 * \sqrt {3}`

Option D