Question

Type the correct answer in each box.

Answer 1

a = 7, b = 9, c = 4

Explanation:

Hope it helps you in your learning process.

`7^{(9)/(4)}= \sqrt[4]7^(9)\implies\sqrt[c]a^(b)`

On comparing, we find:

a = 7, b = 9, c = 4

Answer 2

`\sf \: a = 7,\: b = 9,\: c = 4`

Explanation:

`{7}^{(9)/(4)}` we have to write in the form
`\sf \: {}^(c) \sqrt{ {a}^(b) }`

`{a}^{ (1)/(b) } = {}^(b) √(a)`

`{a}^(b) = {a}^(b)`

from there we can write.

`{7}^{3 * (1)/(4) } = {}^(4) \sqrt{ {7}^(9) }`

Comparing with
`\sf \: {}^(c) \sqrt{ {a}^(b) }`

c = 4 , b = 9, a = 7