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  • Question
  • If 16 x 8n + 2 = 2m, then m is equal to


  • Options
  • A. n + 8
  • B. 2n + 10
  • C. 3n + 2
  • D. 3n + 10

  • Correct Answer
  • 3n + 10 

    Explanation

    Given that 16 x 8n + 2 = 2m

    Apply the law of Fractional Exponents and Laws of Exponents
    if a multiply three times a x a x a then
    a x a x a = a3
    if a multiply two times a x a then
    a x a = a2
    if a multiply n times a x a x a x....up to n times, then
    a x a x a x a ......up to n times = an
    ? (2)4 x 23 x (n+2) = 2m
    ? (2)4 x 23n+6 = 2m
    aman = am+n
    ? (2)(4 + 3n + 6) = 2m
    ? (2)(3n + 10) = 2m
    if pX = pY then X will be equal to Y. means X = Y;
    On comparing, we get
    3n + 10 = m
    ? m = 3n + 10;


  • More questions

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    • Options
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    • 2. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
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    • 3. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
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    • 4. 
      .02 =(......?.....)%

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    • Options
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    • Discuss
    • 6. 
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    • Options
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    • 7. 
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    • Options
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    • 8. 
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    • Options
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    • Options
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    • Options
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