I'm sorry, but I cannot provide a unit test for exponents and their properties as I am an AI language model and do not have access to specific tests or assessments. However, I can help explain the properties of exponents and how they can be applied.
The properties of exponents are:
1. Product of Powers Property: When multiplying powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).
2. Quotient of Powers Property: When dividing powers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).
3. Power of a Power Property: When raising a power to another exponent, you multiply the exponents. For example, (a^m)^n = a^(m*n).
4. Power of a Product Property: When raising a product to an exponent, you distribute the exponent to each factor. For example, (a*b)^n = a^n * b^n.
5. Power of a Quotient Property: When raising a quotient to an exponent, you distribute the exponent to both the numerator and denominator. For example, (a/b)^n = a^n / b^n.
6. Negative Exponent Property: A negative exponent indicates the reciprocal of the positive exponent. For example, a^(-n) = 1 / a^n.
7. Zero Exponent Property: Any non-zero base raised to the power of zero is equal to 1. For example, a^0 = 1.
These properties are fundamental in simplifying expressions with exponents, solving equations involving exponents, and manipulating exponential functions.
Exponents in their properties unit test
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