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Class 8 Tuition > Learn Class VI-VIII Tuition > What are the laws of exponents?
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What are the laws of exponents?

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Exponents are also called Powers or Indices The exponent of a number says how many times to use the number in a multiplication. In this example: 82 = 8 × 8 = 64 In words: 82 could be called "8 to the second power", "8 to the power 2" or simply "8 squared" So an Exponent just saves you writing out...
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Exponents are also called Powers or Indices The exponent of a number says how many times to use the number in a multiplication. In this example: 82 = 8 × 8 = 64 In words: 82 could be called "8 to the second power", "8 to the power 2" or simply "8 squared" So an Exponent just saves you writing out lots of multiplies! read less
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Power rule I (an) m = a n·m
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a nm = a (nm)
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b-n = 1 / bn
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Bachelor of Engineering (B.E.) in Electronics & Communication

The exponent of a number says how many times to use the number in a multiplication.
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B.Tech, Spoken English, EEC, MATLAB, CET Coaching Tutor with 20 years of experience

Exponents are also called Powers or Indices. The exponent of a number says how many times to use the number in a multiplication. In this example: 82 = 8 × 8 = 64 In words: 82 could be called "8 to the second power", "8 to the power 2" or simply "8 squared"
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Laws of exponents means a power m x a power n equal to a power m + n model formulas
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1) x^1=x , 2)x^0=1 , 3)x^-1=1/x 4)x^m.x^n=x^m+n 5) x^m/x^n=x^m-n 6) x^-n=1/x^n
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Rule Example Product rules a n · a m = a n+m 23 · 24 = 23+4 = 128 a n · b n = (a · b) n 32 · 42 = (3·4)2 = 144 Quotient rules a n / a m = a n-m 25 / 23 = 25-3 = 4 a n / b n = (a / b) n 43 / 23 = (4/2)3 = 8 Power rules (bn)m = bn·m (23)2 = 23·2 = 64 bnm = b(nm) 232 = 2(32)= 512 m?(bn)...
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Rule Example Product rules a n · a m=a n+m 23 · 24=23+4 = 128 a n · b n=(a · b) n 32 · 42=(3·4)2 = 144 Quotient rules a n / a m=a n-m 25 / 23=25-3 = 4 a n / b n=(a / b) n 43 / 23=(4/2)3 = 8 Power rules (bn)m = bn·m (23)2 = 23·2 = 64 bnm=b(nm) 232=2(32)= 512 m?(bn) = b n/m 2?(26) = 26/2 = 8 b1/n = n?b 81/3 = 3?8 = 2 Negative exponents b-n = 1 / bn 2-3 = 1/23 = 0.125 Zero rules b0=1 50=1 0n=0 , for n>0 05 = 0 One rules b1 = b 51 = 5 1n = 1 15 = 1 Minus one rule read less
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