LAW OF EXPONENTS
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Unit Overview
In a previous unit, you were introduced to properties of exponents. In this unit, you will expand on the concept of exponent properties which are rules used for simplifying algebraic expressions. It is important to understand these rules as exponents are used in real-world situations such as finding area and volume. In biology and physics you may encounter quotients that involve exponents.
Multiplying Monomials
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Now try one:
Simplify (34a2b3)(3–3a5b–3).
3a7
Note: b0 is one and b should not be in your answer.
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Multiplying Exponents (09:40)Stop! Go to Questions #1-8 about this section, then return to continue on to the next section.
Geometry Connection
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Find the volume when l = 7x w = 8xy and h = 2xy.
V = 112x3y2
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Stop! Go to Questions #9-11 about this section, then return to continue on to the next section.
Powers and Products
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Use multiple rules to simplify this expression (2a3)3 ⋅ (3a2b4).
24a11b4
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Finding the Power of a Power (09:40) Integer Exponents (01:34)Stop! Go to Questions #12-16 about this section, then return to continue on to the next section.
Powers of (–1)
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Stop! Go to Questions #17-35 to complete this unit.
