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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Transcript of 9.3 E XPONENTS, P RODUCTS, AND P OWERS. P RODUCT OF T WO P OWERS WITH E QUAL B ASES If you multiply...

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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