5.1 Properties of Exponents Homework: Every Other Odd 1-77
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All of the following properties apply if exponential
expressions have like bases.
1. Multiplying like bases: The base stays
the same, the exponents are added.
Example:
We can verify by writing the expressions as factors to determine how many
factors of x are in the product.
Example:
Example:
Example:
Example:
2. Dividing like bases:
The base stays the same, the exponents are subtracted.
Example:
Example:
Example:
3. Zero Exponent: For any real
number a , where a is not equal to 0,
Examples:
4. Raising a power to a
power: The base stays the same, multiply the exponents.
Examples:
