Final answer:
The Zero Exponent Property states that any nonzero number raised to the power of zero equals 1. It can be used to simplify expressions by subtracting exponents and solve equations with rational exponents by treating them as whole numbers.
Step-by-step explanation:
The Zero Exponent Property states that any nonzero number raised to the power of zero equals 1. This can be explained using the property of exponents: am / an = am-n for a ≠ 0. So, if we have a number raised to a certain power divided by the same number raised to a different power, we can apply this property to simplify the expression. For example, if we have a number a raised to the power of x divided by the same number a raised to the power of x, we can subtract the exponents to get ax-x = a0 = 1.
The Zero Exponent Property can be applied when solving equations with rational exponents by using the fact that any nonzero number raised to the power of zero is 1. For example, if you have an equation like (x2)1/2 = x1, you can simplify it using the Zero Exponent Property as (x2)1/2 = 1, since any nonzero number raised to the power of zero is 1. This then leads to x1 = 1, which means x = 1.
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