Can X be 0 in an exponential function?

Can X be 0 in an exponential function?

The function ex considered as a function of Real numbers has domain (−∞,∞) and range (0,∞) . So it can only take strictly positive values. When we consider ex as a function of Complex numbers, then we find it has domain C and range C\{0} . That is 0 is the only value that ex cannot take.

What do you do when x is 0?

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.

What is the value of any number raised to the power of 0?

one
Any non-zero number to the zero power equals one. Zero to any positive exponent equals zero.

What happens to the value of the expression if the exponent is equal to zero?

Therefore, it is proven that any number or expression raised to the power of zero is always equal to 1. In other words, if the exponent is zero then the result is 1. The general form of zero exponent rule is given by: a 0 = 1 and (a/b) 0 = 1.

What is the value of e raised to 0?

equal to 1
What is the value of e raised to power 0? The value of e0 is equal to 1.

What happens if an exponent is 0?

The zero exponent indicates that there are no factors of a number.

What is the law of zero exponent?

The rule for zero as an exponent: Any nonzero real number raised to the power of zero is one, this means anything that looks like a 0 a^0 a0​ will always equal 1 if a is not equal to zero.

Why does the zero exponent rule work?

In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.

What is the value of 10 power 0?

1
When n is equal to 0, the power of 10 is 1; that is, 100 = 1.

Why is something to the power of 0 equal to 1?