(√(5))(\sqrt[3]{5}) answers 6(5)/(6)\\5(1)/(6)\\5(2)/(3)\\5(7)/(6)

Question

`(√(5))(\sqrt[3]{5})` answers
`6(5)/(6)\\5(1)/(6)\\5(2)/(3)\\5(7)/(6)`

Answer 1

A :
`5^{(5)/(6) }`

Explanation:

Because you're multiplying two numbers with the same base, you can add their exponents:

`√(5) = 5^{(1)/(2) } = 5^{(3)/(6) } \\\sqrt[3]{5} =5^{(1)/(3) } = 5^{(2)/(6) }`

`5^{(3)/(6) } * 5^{(2)/(6) } = 5^{(5)/(6) }`