Quotient of powers property
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The Quotient of Powers property states that to divide powers with the same base, you subtract the exponents. This works because exponents indicate how many times the base is multiplied, so dividing by a power is represented by subtracting it. The property holds true for negative exponents as well, following the same rules as integers, but using zero as a base results in an unknown value.
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Quotient of powers property
- 1. Quotient Of Powers Property By Bebe, Lake and Sydney
- 2. Quotient Of Powers Property To divide powers with the same base, subtract the exponents.
- 3. Algebraic Representation 푎푚 푎푛 = 푎푚 −푛
- 4. Numerical Example 37 32 = 37 −2= 35
- 5. The Quotient of Powers property works with the basic definition of exponents because the number of times that the base is multiplied is indicated by the power so when dividing by a power you just subtract it.
- 6. Does zero or negative numbers in your property effect its outcome? Yes, exponents follow the same rules as normal integers with negative numbers, for example: 2−2 24 = 2−2 − 4 = 2−6 Zero as a base does effect the outcome, for instance: 03 02 = 0 ∗0 ∗0 0 ∗0 = Unknown