Question

Simplify (ignore my garbage camera quality ....)

Answer 1

The correct answer is option C

3

Explanation:

Points to remember

Identities

(xᵃ)ᵇ = xᵃᵇ

(x¹/ᵃ)ᵇ = xᵃ/ᵇ

To find the correct answer

It is given that, (3¹/⁷)⁷

By using above identities we can write,

(3¹/⁷)⁷ = 3⁽¹/⁷ *⁷⁾

= 3¹

= 3

Therefore the simplified form of (3¹/⁷)⁷ = 3

The correct answer is option C

(3¹/⁷)⁷ = 3

Answer 2

C. 3

Explanation:

Given expression is:

`({3^{(1)/(7)})^7`

We know that the rules of exponents are used to solve these kind of questions.

When there is exponent on exponent like in this question 1/7 has an exponent of 7 , the exponents are multiplied.

So,

`=3^{(7*(1)/(7) )}`

The 7's will be cancelled out and remaining power will be 1

`=3^1\\=3`

Hence, option C is correct ..