Rule

Zero Exponent Property

Any non-zero real number raised to the power of 0 is equal to 1.

a^0=1

Proof

To prove this identity, it will be shown that the left-hand side is always equal to 1 for any real number a. To do so, the exponent 0 will be written as a difference, for instance b-b. Then, the expression will be rearranged using the Quotient of Powers Property.

a^0

Rewrite 0 as b-b

a^(b-b)
a^b/a^b
1 ✓

Exercises
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