Question

Which of the following is the radical expression of 4 times d to the three eighths power? (2 points) 4 times the eighth root of d to the third power 4 times the third root of d to the eighth power eighth root of 4 d to the third power third root of 4 d to the eighth power

Answer 1

c

Explanation:

Answer 2

For this case we have the following expression:

`4 ^ {\frac {3} {8}}`

By definition of properties of powers and roots we have to:

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

Then, we can rewrite the expression as:

`\sqrt [8] {4 ^ 3}`

Answer:

`4 ^ {\frac {3} {8}} = \sqrt [8] {4 ^ 3}`