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12.Exponents and powers Module-2/3 Presented by K.Prakash TGT AECS Kakrapar

12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply

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Page 1: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply

12.Exponents and powers

Module-2/3Presented

by

K.Prakash TGT

AECS Kakrapar

Page 2: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply

• The product law can

be applied when the

exponentials have

same base, the

powers will be added

with same base

Page 3: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply
Page 4: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply

• Exponential form of a

number is divided by

other exponential

form of number with

same base, then

quotient is difference

of powers with same

base

Page 5: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply

• the exponential form of

exponent, then the result

is product of powers with

same base

Page 6: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply
Page 7: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply
Page 8: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply
Page 9: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply
Page 10: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply
Page 11: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply

an = 1 for n = 0

an = 1 for n = 0 , This will work for any a

except a = 1 or a = -1

for a=1 ,12 = 13 = 14 = 15 ................ =

1

for a = -1, (-1)2 = (-1)4 = (-1)6 = (-1)8

= (-1)10 = .............. (-1) p = 1

Where p is even number

Page 12: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply
Page 13: 12.Exponents and powers Module-2/3aees.gov.in/htmldocs/downloads/Econtent_aug2020/VIII_MAT...QUOT'ENT POWER LAW Power Rule (ambm)n = amnbmn (when taking a monomial to a power, multiply