Question

2 raised to power 0 = 5 raised to power 0 implies 2=5 . (True/False)​

Answer 1

False

Step-by-step explanation:

2⁰ = 5⁰

1 = 1 (because if base is having exponent 0 so it will become 1 e.g. a⁰= 1)

Answer 2

True ✔️

Method of proving ,

• By using a⁰ = 1

• Method 1 :-

As we know that ,

a⁰ = 1

So , similarly here

• a = 2 & 5

Taking LHS

⇒ 2⁰ = 1

Taking RHS

⇒ 5⁰ = 1

Now, comparing with LHS & RHS

1 = 1

Hence , proved !

Proof for a⁰ = 1

Taking LHS ( a⁰ )

0 can be written as 1 - 1

⇒ a¹⁻¹

Using aᵐ⁻ⁿ = aᵐ/aⁿ

⇒ a¹/a¹

⇒ a/a

⇒ 1

Now , comparing with RHS

LHS = RHS

Hence , proved !