Question

Simplity


`( √(5) )( \sqrt[3]{5} )`

A.

`5(5)/(6)`
B.

`5 (1)/(6)`
C.

`5 (2)/(3)`
D.

`5 (7)/(6)`
​

Answer 1

5^(5/6)

Explanation:

5^(1/2)*5^(1/3)=5^(1/2+1/3)=5^(5/6)

When multiplying numbers with same base you add the exponents.

Answer 2

A.

5 ^ (5/6)

Explanation:

5 ^ (1/2) * 5 ^ (1/3)

We know that a^b * a^ c = a ^ (b+c)

5 ^ (1/2 + 1/3)

5^ (3/6+2/6)

5^ (5/6)