Learn to evaluate expressions with negative exponents'

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Learn to evaluate expressions with negative
exponents.
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10
10
10
10
Look for a pattern in the table to extend what
you know about exponents to include negative
exponents. Start with what you know about
positive and zero exponents.
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Additional Example 1A 1B Using a Pattern to
Evaluate Negative Exponents
Evaluate the powers of 10.
A. 102
B. 101
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Additional Example 1C Using a Pattern to
Evaluate Negative Exponents Continued
Evaluate the powers of 10.
C. 106
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Try This Example 1A 1B
Evaluate the powers of 10.
A. 108
B. 109
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Try This Example 1C
Evaluate the powers of 10.
C. 107
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NEGATIVE EXPONENTS
Words
Numbers
Algebra
A power with a negative exponent equals 1 divided
by that power with its opposite exponent.
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Additional Example 2 Evaluating Negative
Exponents
Evaluate.
53
Write the reciprocal change the sign of the
exponent.
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Try This Example 2
Evaluate.
(10)3
Write the reciprocal change the sign of the
exponent.
0.001
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Additional Example 3A Evaluating Products and
Quotients of Negative Exponents
Evaluate.
A. 25 23
Bases are the same, so add the exponents.
Write the reciprocal change the sign of the
exponent.
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Additional Example 3B Evaluating Products and
Quotients of Negative Exponents Continued
Evaluate.
B.
Bases are the same, so subtract the exponents.
Write the reciprocal change the sign of the
exponent.

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Try This Example 3A
Evaluate.
A.
Bases are the same, so subtract the exponents.
Write the reciprocal change the sign of the
exponent.

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Try This Example 3B
Evaluate.
B. 76 77
Bases are the same, so add the exponents.
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Lesson Quiz Part 1
Evaluate the powers of 10.
0.001
1. 103
0.0000001
2. 107
Evaluate.
3. (6)2
1
4. 74 74
5.
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Lesson Quiz Part 2
6. In engineering notation, a tera is equal to
1012, and a mega is equal to 106. How many megas
are equal to a tera?