Question

[7{(81)^1/4+(256)^1/4}^1/4]^4​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:-

= 16807

Simplify:-

[7(81^1/4 +256^1/4)^1/4]^4

Given:-

[7(81^1/4 +256^1/4)^1/4]^4

Follow these steps:-

Follow BODMAS:

1. Calculate :

2. After calculating, add the terms inside the curly bracket.

3. Now, bring out the sum and remove the curly brackets .

4. Solve the operation inside the square brackets. ( Follow the rules of indices).

[7(81^1/4 +256^1/4)^1/4]^4

⇒ [7(3 + 4) ^1/4]^4

⇒ [7(7)^1/4]^4

⇒ [7^1+1/4]^4

⇒ [7^5/4]^4

⇒ 7^5

⇒ 16807

Hence required valve is 16807.