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It follows from the index laws.

x^(a-b) = x^a / x^b

If you then set b = a then x^0 = x^a/x^a = 1.

Q: Why does any number raised to the exponent 0 yield 1?

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Any number raised to the zero power equals 1.

Any number except 0 itself raised to the power of zero exponent is always equal to 1

no exponent can make a number equal to zero, however any number with an exponent of zero is one.

Why not? An exponent is just like any other number.

Not sure what you're asking. Any number can be an exponent, like 1013, where 13 would be the exponent in this case. If you were given the number 13, and asked what the exponent was, the answer would be one (1), since any number to the 1 power equals that number, so 131 = 13, if no exponent is given then it is assumed to be one (1).

Related questions

The exponent of 111 is 0. 1110 = 111 . Any number raised to the power of zero is that number.

Any number raised to the zero power equals 1.

3 to the exponent of 0 is 1. In fact, any non-zero number, raised to the power of 0 is equal to 1.

The question doesn't make sense, because any nonzero number raised to the zero (0) power (exponent) will always equal one (1).

the answer is 3. Any number x raised to the 1 power (x1) equals x.

Any number except 0 itself raised to the power of zero exponent is always equal to 1

Yes. For any number "x", x to the power 1 is the same as x.

Yes, 25 CAN BE and exponent. Any number can be and exponent

Any number raised to the zero power is ' 1 '. You can surely handle it now.

no exponent can make a number equal to zero, however any number with an exponent of zero is one.

The exponent of any constant number is 1.

Because a number to the exponent 0 = 1 and any lesser exponent decreases the value.