Question

I need help on this question.

Answer 1

D. 3•5√x

Explanation:

the law of indices

√x = x^1/2

i.e 3*x^1/5

for the first one,it will be

3x^5*1/2

for the second one

(3x)^1/5

i.e 3^1/5 * x^1/5

the third one will be

3*x^5*1/2

Answer 2

D (bottom right answer)

Explanation:

The denominator of an exponent is the index of the root.

For example, x^1/2 means √2.

x^1/5 means the 5th root of x.

You have 3x^1/5.

3 is not in the root, so you need an answer that has a plain 3.

That eliminates the two answers on the top line.

Then you have x^1/5 which means the 5th root of x.

The correct answer must be 3 × 5th root of x

Answer: D