The easiest way to prove it using pattern and algebraic thinking.
Let's take an example to 2x
when x is -2, -1, 0, 1, 2 the ans is1/4, 1/2, 1, 2, 4you can see the pattern that the each number is multiplied by 2, from left to right or divided by 2 from right to left.In that case, 20 is equal to 1.
It should be zero, but the only problem with that is that you can't divide by zero; so it becomes inconvenient in case the something to the power of zero happens to be in the denominator. Therefore, mathematicians have agreed to let something to the power of zero to always be one just for the sake of convenience.
Because any number raised to the power of zero always equals one as for example 666^0 = 1
a standardizing variable is a variable that has a mean of zero and a standard deviation of one .
Well, You multiply 10 by how ever many times the number says. In this case it is 0. Though, there is a different rule for anything to the zero power. The rule is that anything to the zero power is not zero, but always one.
If there is one variable. Then put each variable equal to zero and then solve for the other variable.
It should be zero, but the only problem with that is that you can't divide by zero; so it becomes inconvenient in case the something to the power of zero happens to be in the denominator. Therefore, mathematicians have agreed to let something to the power of zero to always be one just for the sake of convenience.
Because any number raised to the power of zero always equals one as for example 666^0 = 1
No, it is undefined and indeterminate. Log base y of a variable x = N y to the N power = x if y ( base) = 0 then 0 to the N power = x which is always zero (or one in some cases) and ambiguous. Say you want log base 0 of 50 0 to the N power = 50 cannot be true as 0 to the N is always zero
a standardizing variable is a variable that has a mean of zero and a standard deviation of one .
Well, You multiply 10 by how ever many times the number says. In this case it is 0. Though, there is a different rule for anything to the zero power. The rule is that anything to the zero power is not zero, but always one.
Because any number raised to the power of 0 is always equal to 1
If there is one variable. Then put each variable equal to zero and then solve for the other variable.
Zero to any power is zero; any non-zero number to the power zero is one. Thus, zero to the power zero is sort of contradictory.
One. Any number to the zero power is one.
Identify your variables. Make one of the variables equal zero and solve for the other variable. Once you have a solution for this varaible this solution is called a zero. Make the other variable equal to zero and solve for the other variable. Once you have a solution for this variable this solution is also called a zero.
Has only one variable and one constant and is perpendicular to that variable's axis. Ex) y = 3
One to any power is still one. If the power is positive, you have 1 times itself over and over again, so it does not change. If the power is zero, the answer is always one, no matter the number. If the power is negative, you find the reciprocal of the expression and make the power positive. If the base of the exponential expression is 1, it is always one.