Question

Simplify the fourth root of three over the fifth root of three. Three raised to the one twentieth power three raised to the nine twentieths power three raised to the five fourths power three raised to the one fifth power.

Answer 1

The simplified form of the expression (∜3)/(⁵√3) is; 3^(1/20) or (20√)3

We want to find;

(∜3)/(⁵√3)

Now, the numerator can also be written as;

3^(¼)

Similarly, the denominator can also be written as;

3^(1/5)

Now, from laws of indices, we know that;

a⁴/a² = a^(4 - 2) = a²

Thus, applying the laws of indices to our question gives;

(3^(¼))/(3^(1/5)) = 3^(¼ - (1/5)

>> 3^(1/20)

>> (20√)3

Read more about laws of indices at; https://brainly.com/question/10339517

Answer 2

Answer:

three raised to the nine twentieths power

Step-by-step explanation: