warm-up: simplify. 1)2) evaluate each expression for the given values. 3) for x = –1 4) for x = 4...
TRANSCRIPT
Warm-up:• Simplify.
1) 2)
Evaluate each expression for the given values.
3) for x = –1 4) for x = 4
& y = 10 & y = (–7)
5) What is an integer?
Whole #s & their opposites (negatives)
Integer Exponents (vs. Fractional Exponents)
Draw & Complete the Table to make a conjecture about a zero exponent and negative exponents:
Power
Value 81 27 9 3 1
Zero ExponentThe only number that can’t be raised to
the zero power is…
0Because
YOU CAN’T DIVIDE BY ZERO!
Negative ExponentsAny nonzero number raised to a negative exponent
equals 1 divided by that number raised to the positive exponent. (RECIPROCAL)
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Once the power with a negative exponent (UNHAPPY) moves to its proper location…
the exponent becomes positive because it is HAPPY it is in the correct place.
3
7–3
–7
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Fractions Raised to a Negative Exponent
Both numbers needto move places!
The exponents become positive after they move!
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Another way to simplify Fractions Raised to a Negative Exponent
FLIP IT!
The exponent becomes positive
after the flip!
EXAMPLE 2: Evaluating Expressions with Zero and Negative Exponents
Evaluate each expression for the given value(s) of the variable(s). 2A) for x = 4
NOT
Evaluate each expression for the given value(s) of the variable(s):
2B)
EXAMPLE 2: Evaluating Expressions with Zero and Negative Exponents
Evaluate each expression for the given value(s) of the variable(s):
2C)___________________________________
EXAMPLE 2: Evaluating Expressions with Zero and Negative Exponents
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** When simplifying expressions with exponents:
• An expression that contains negative and/or zero exponents is NOT considered to be simplified!
• Exponents should be rewritten with only POSITIVE EXPONENTS.