9.3 e xponents, p roducts, and p owers. p roduct of t wo p owers with e qual b ases if you multiply...
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9.3 EXPONENTS, PRODUCTS, AND POWERS
PRODUCT OF TWO POWERS WITH EQUAL BASES If you multiply two powers, and both bases
are equal, then you can add the exponents (and use the same base).
a b a bx x x
SIMPLIFY
7 35 5
SIMPLIFY
2 47 3a a a
POWER OF A PRODUCT
Exponentiation distributes over multiplication.
a a axy x y
SIMPLIFY
23x
SIMPLIFY
32y
POWER OF A POWER
If you raise a power to a power, then you multiply the exponents.
ba abx x
SIMPLIFY
652x
SIMPLIFY
235xy
SIMPLIFY OR STATE THAT THE EXPRESSION CANNOT BE SIMPLIFIED
2 23 5x x
SIMPLIFY OR STATE THAT THE EXPRESSION CANNOT BE SIMPLIFIED
3 24 4x x
SIMPLIFY OR STATE THAT THE EXPRESSION CANNOT BE SIMPLIFIED
3 23 4x x
SIMPLIFY OR STATE THAT THE EXPRESSION CANNOT BE SIMPLIFIED
3 2x y
HOMEWORK
P378 #7 – 99 every other odd
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