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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

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Page 1: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

9.3 EXPONENTS, PRODUCTS, AND POWERS

Page 2: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

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

Page 3: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

SIMPLIFY

7 35 5

Page 4: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

SIMPLIFY

2 47 3a a a

Page 5: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

POWER OF A PRODUCT

Exponentiation distributes over multiplication.

a a axy x y

Page 6: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

SIMPLIFY

23x

Page 7: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

SIMPLIFY

32y

Page 8: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

POWER OF A POWER

If you raise a power to a power, then you multiply the exponents.

ba abx x

Page 9: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

SIMPLIFY

652x

Page 10: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

SIMPLIFY

235xy

Page 11: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

SIMPLIFY OR STATE THAT THE EXPRESSION CANNOT BE SIMPLIFIED

2 23 5x x

Page 12: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

SIMPLIFY OR STATE THAT THE EXPRESSION CANNOT BE SIMPLIFIED

3 24 4x x

Page 13: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

SIMPLIFY OR STATE THAT THE EXPRESSION CANNOT BE SIMPLIFIED

3 23 4x x

Page 14: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

SIMPLIFY OR STATE THAT THE EXPRESSION CANNOT BE SIMPLIFIED

3 2x y

Page 15: 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply two powers, and both bases are equal, then you can

HOMEWORK

P378 #7 – 99 every other odd


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