Question

The value of [ 2-¹+3-¹+4-¹]° is​

Answer 1

Answer:

1

Step-by-step explanation:

anything raised to 0 is 1

Answer 2

Answer:

The value of [ 2-¹+3-¹+4-¹]° is 1.

Step-by-step explanation:

Here given,

$( {2}^{ - 1} + {3}^{ - 1} + {4}^{ - 1} )^{ 0}$

This is a problem of Power of indices of Algebra.

$( \frac{1}{2} + \frac{1}{3} + \frac{1}{4} )^{ 0}$

$= ( \frac{6 + 4 + 3}{12} )^{ 0} \\ = ( \frac{13}{14} )^{ 0} \\ = \frac{ {13}^{0} }{ {12}^{0} } \\ = \frac{1}{1} \\ = 1$

Here applied formulas are,

${x}^{ - 1} = \frac{1}{x} \\ {x}^{0} = 1$

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549