Multiplication Properties of Exponents

To multiply two powers that have the same base, you ADD the exponents. OR

This is called the “Product of Powers Property” To multiply powers having the same base, add the exponents.

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To find a power of a power, you MULTIPLY the exponents.

This is called the “Power of a Power Property” The quantity within the parentheses is raised to the power, not each individual term.

Example:

Try these……

If you have a product inside the parentheses….. For example: Now we use a different exponent property.

This is called the “Power of a Product Property” To find a power of a product, find the power of each factor, multiply, and then simplify if needed.

Example 1: Raise each factor to a power. Evaluate each power. Multiply.

Example 2: Raise each factor to a power. Identify the factors. Simplify.

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Using all three properties together: POWER OF A POWER POWER OF A PRODUCT PRODUCT OF POWERS

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