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Learn and apply the rules and strategies of exponents to solve problems effectively and boost your math skills. This comprehensive guide covers exponent basics, rules, and practical examples for easy understanding and mastery.
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Table of Contents PG 2 Revised 8/7/16
Rules of Exponents Let the Game Begin… Notebook pg4
Exponent/ Power Base an Days Successful Make All an = an-x ax an * ax an+x Pretty Please (*) (an)x = an*x
Make All an * ax an+x
When Multiplying bases that are the same, ADD the exponents m3*m8 = m3+8 m11 2w*3w2 = 2(3)w1+2 6w3
Days Successful an = an-x ax
When Dividing bases that are the same, SUBTRACT the exponents
Pretty Please (*) (an)x = an*x
Power to a Power MULTIPLY(*) Powers (2y3w2)5 = 21*5 y3*5 w2*5 25y15w10 (y3)4 = y3*4 y12
Exponent/ Power Base an
a0 = 1 Anything (except 0) To the zero power equals One. a-n (move It!) 1 an Make all exponents positive by changing the base and exponent’s location.
If outside power is NEGATIVE, FLIP inside, change outside power to a POSITIVE, then MULTIPLY powers.