B. Examples
The following example builds a similar pattern using number values substituted into the general form of the Negative Exponent Law.
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Example 1 |
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Explain
The Quotient Law of Exponents states, when dividing powers with like bases, subtract the exponents. As such,
The Zero Exponent Law can be applied since any base to the exponent 0 is equal to one,
Substituting the 1 into the numerator portion of
Therefore, by the Quotient and Negative Laws of Exponents
|
.
can be rewritten as
.
will result in
.
The Negative Exponent Law can be applied to express negative exponents as positive exponents, to simplify expressions, and to evaluate expressions.
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Example 2 |
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Simplify and express the powers using positive exponents. |
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Example 3 |
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Evaluate
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.
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Example 4 |
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Simplify
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.
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Example 5 |
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Simplify
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.
