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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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      Five coins are tossed at a time. Then, the probability of obtaining at least one tail is

    • Options
    • A. 31/32
    • B. 1/32
    • C. 1/5
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    • Discuss
    • 2. 
      Find the maximum number of tree which can plant 20 m apart on the two side of straight road 1760 m long

    • Options
    • A. 174
    • B. 176
    • C. 180
    • D. 178
    • Discuss
    • 3. 
      1307 x 1307 =?

    • Options
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    • B. 1607249
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    • 4. 
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    • Options
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    • C. 8 meter
    • D. 44 meter
    • Discuss
    • 5. 
      (1/2 ÷ 4 + 20) / (1/2 x 4 + 20) =?

    • Options
    • A. 81 / 88
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    • D. 1
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    • 6. 
      Find the cardinal number of the following set {x: x = 2n, n ? N, 4 ? x ? 11}

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    • 7. 
      If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/ 27. Find the fraction.

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      (0.04) 3 =?

    • Options
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