Question

If (200)^0 = 5^n then the value of n is

Answer 1

Answer:

$any \: \: \: number \: \: \: raise \: \: \: \: to \: \: \: \: zero \: \: \: \: is \: \: \: \: equal \: \: \: \: to \: one \\ \\ {200}^{0} = 1 \\ \\ 1 = 5 ^{n} \\ \\ 1 = {5}^{0} \\ \\ 1 = 1 \\ \\ \\ so \: \: \: the \: \: \: value \: \: \: of \: \: \: n \: \: \: is \: \: \: zero$

Answer 2

Concept:

Exponents refers to the numerical representation of data with powers.

The power of a number is called as the exponent.

We know that the property of exponents says that:

n⁰ = 1 is always true.

Given:

We are given that:

( 200 )⁰ = 5ⁿ

Find:

We need to find the value of n

Solution:

We know that anything to the power 0 is 1.

n⁰ = 1

200⁰ = 1

5ⁿ = 1

For this to happen, n should also be zero that is:

5⁰ = 1.

Therefore, the value of n for the expression ( 200 )⁰ = 5ⁿ is n = 0.

#SPJ2