0
One way to see this is as follows:
1. When you multiply numbers with the same base, you add the exponents (i.e., (a^x)*(a^y) = a^(x+y)).
2. a^(-x) = 1/a^(x). For example, 2^(-1) = 1/2.
Therefore,
(a^x)*(a^(-x)) = a^(x-x) = a^0 (from the first point above)
AND
(a^x)*(a^(-x)) = (a^x)*(1/(a^x)) = 1 (from the second point above)
So, (a^x)*(a^(-x)) equals both a^0 and 1, and therefore a^0 equals 1.
What else can I help you with?
What is the value of any nonzero base raised to the zero power?
The value of any nonzero number raised to the zero power will equal positive one (1).
What is any nonzero number raised to the zero power is one?
Any nonzero number raised to the zero power equals one due to the properties of exponents. Specifically, according to the exponent rules, ( a^m / a^m = a^{m-m} = a^0 ), and since ( a^m / a^m ) equals one (as long as ( a \neq 0 )), it follows that ( a^0 = 1 ). This principle holds true for all nonzero numbers, illustrating a consistent and fundamental rule in mathematics.
What is 1.1 in scientific notation?
1.1 x 10^0 (That's ten to the zero power). Any nonzero real number, raised to the zero power equals 1.
What does a number raised to the power of 0 equal?
Any number raised to the power 0 equals 1.
Why any number raise to the power 0 is always 1?
== == The fact is - any nonzero number raised to 0 is always 1. the reason is: suppose a is nonzero. Then by the quotient rule of indices, am/an = am - n Taking m = n we come up with am - m = am/am , which is 1 in view of a nonzero.
Any nonzero number raised to the power of zero is equal to?
Any nonzero number raised to the power of zero is equal to one (1).By definition.
What is the value of any nonzero base raised to the zero power?
The value of any nonzero number raised to the zero power will equal positive one (1).
What is any nonzero number raised to the zero power is one?
Any nonzero number raised to the zero power equals one due to the properties of exponents. Specifically, according to the exponent rules, ( a^m / a^m = a^{m-m} = a^0 ), and since ( a^m / a^m ) equals one (as long as ( a \neq 0 )), it follows that ( a^0 = 1 ). This principle holds true for all nonzero numbers, illustrating a consistent and fundamental rule in mathematics.
What is 1.1 in scientific notation?
1.1 x 10^0 (That's ten to the zero power). Any nonzero real number, raised to the zero power equals 1.
What does any nonzero raised to the zero power equal?
Any number raised to the power of zero is always equal to 1
20 to power of 1?
ANY number raised to the power of 1 equals itself. Any number raised to the power of 0 equals 1.
What does a number raised to the power of 0 equal?
Any number raised to the power 0 equals 1.
What is the equivalet of 0 exponent?
Any number except zero, raised to the power zero, equals 1. Zero to the power zero is not defined.Any number except zero, raised to the power zero, equals 1. Zero to the power zero is not defined.Any number except zero, raised to the power zero, equals 1. Zero to the power zero is not defined.Any number except zero, raised to the power zero, equals 1. Zero to the power zero is not defined.
What number when raised to the third power equals 125?
The number 5.
What number raised to the 5th power equals 243?
The number is -3
Why any number raise to the power 0 is always 1?
== == The fact is - any nonzero number raised to 0 is always 1. the reason is: suppose a is nonzero. Then by the quotient rule of indices, am/an = am - n Taking m = n we come up with am - m = am/am , which is 1 in view of a nonzero.
If any nonzero raised to the power of zero is equal to?
It is always 1
