Copyright©amberpasillas2010. Talk to your partner: What is a general rule for the value of any number raised to the zero power: a 0 =

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Presentation transcript:

copyright©amberpasillas2010

Talk to your partner: What is a general rule for the value of any number raised to the zero power: a 0 =

Simplify.

copyright©amberpasillas2010 You do NOT want to have negative exponents in your answer. An expression is NOT simplified when there is a negative exponent. Turn and Talk: What is a general rule for the value of any number to a negative power? a -x =

copyright©amberpasillas2010 MEMORIZE this saying…. “JUMP the LINE & CHANGE the EXPONENT’S SIGN”

copyright©amberpasillas2010 Definition of Negative Exponent For any integer n, a -n is the reciprocal of a n

copyright©amberpasillas2010 Definition of Negative Exponent For any integer n, a -n is the reciprocal of a n

copyright©amberpasillas2010 Definition of Negative Exponent For any integer n, a -n is the reciprocal of a n

copyright©amberpasillas2010 Remember the saying…. “JUMP the LINE & CHANGE the EXPONENT’S SIGN” And think about the next slide….

copyright©amberpasillas2010 What if the negative exponent is in the denominator?

copyright©amberpasillas2010 Simplify. A negative exponent is an inverse! Flip the number over to make the exponent positive!

copyright©amberpasillas2010 Follow the Pattern! ,000 10, , = = = 0.001

copyright©amberpasillas2010 Zero Exponent: Negative Exponent:

copyright©amberpasillas2010 Simplify.

copyright©amberpasillas2010 Identity PropertyWhy It Works = 1 Any number to the zero power is ALWAYS ONE. x 0 = 1

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