Question

Explain How?
$\huge \red{ {x}^{0} = 1}$
​

Answer 1

Answer:

Its an identity,

so u have to prove the identity.

Let x be a number.

We need to prove that x^0=1.

We need to prove that x^0=1.X^0=x^1-1=x^1×x^-1= x × 1/x = 1.

Answer 2

Step-by-step explanation:

Given :-

x^0

To find :-

Prove that x^0 = 1

Solution :-

On taking LHS

=> x^0

=> x^(n-n) for some integer n

We know that

a^m/a^n = a^(m-n)

=> x^n/x^n

=> 1

=> RHS

LHS = RHS

or

On taking. RHS

=> 1

=> 1/1

On multiplying both numerator and the denominator with x

=> (1×x)/(1×x)

=>x/x

=> x^1/x^1

We know that

a^m/a^n = a^(m-n)

=> x^(1-1)

=>x^0

=> LHS

RHS = LHS

Hence , Proved.

Answer:-

x^0 = 1

Used formulae :-

• a^m/a^n = a^(m-n)

• this is the identity which is true for all values for x