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Want to Beat the Algebra
Blues? |
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Properties of Negative Exponents
Properties —
To Rewrite a Quotient Using Positive Exponents
A factor that contains a negative exponent may be rewritten on the
other side of the division bar by changing the sign of the exponent.
| Property |
Example 1 |
Example 2 |
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Here, x ≠ 0 and y
≠ 0.
A fraction raised to a negative exponent may be rewritten as the
reciprocal of the fraction raised to the corresponding positive
exponent.
| Property |
Example 1 |
Example 2 |
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 |
Here, x ≠ 0 and y
≠ 0.
Example 1
Simplify and write using only positive exponents:
Solution
Use this property:
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Example 2
Simplify and write using only positive exponents:
Solution
Use this property:
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| Use the Power of a Quotient Property.
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| Simplify. |
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