Question

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Answer 1

D

Explanation:

81 can be written as a form with the base of 3 (3^4):

`({ {81}^{ (1)/(4) }) }^(4) = (({ { {3}^(4) )}^{ (1)/(4) }) }^(4) =( { {3}^(1)) }^(4) = {3}^(4) = 81`

Use the property of degrees:

• when raising the base by two degrees, the degree indicators are multiplied, for example:

`( { {x}^(2) )}^(3) = {x}^(2 * 3) = {x}^(6)`

Answer 2

• D. 81

Explanation:

`\mathrm{\left(81^{\cfrac{1}{4}}\right)^4}`

Apply the exponent rule:-

• 
  `\mathrm{81^{\cfrac{1}{4}* \:4}}`

* 1/4 * 4 = 1 *

• 
  `\mathrm{81^1}}`

• 
  `\mathrm{81}`

Therefore, the value of the expression is 81 .

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Hope this helps!