Question

Simplify (7 ((81)^1/4+(256)^1/4)^1/4)^4.....answer is 7^5 I want solution

Answer 1

Thats ur answer .....
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Answer 2

Answer:

The required valve is 16807.

Step-by-step explanation:

Given:

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

To find:

the above equation

Step 1

By using the BODMAS rule:

The BODMAS rule follows the order of the BODMAS

B – Brackets

O – Order of powers or roots

D – Division

M – Multiplication

A – Addition

S – Subtraction.

Step 2

The BODMAS rule notes that mathematical terms with multiple operators must be solved from left to right in the order of BODMAS.

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

⇒ $[7(3 + 4) ^1/4]^4$

⇒ $[7(7)^1/4]^4$

⇒ $[7^1+1/4]^4$

⇒ $[7^5/4]^4$

⇒ $7^5$

⇒ 16807

Therefore, the required valve exists at 16807.

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