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Number systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
MCQ
(256)0.16 × (256)0.09
  • A
    4
  • B
    16
  • C
    64
  • D
    256.25
✓

Answer

  1. 4

    Solution:

    We have to find the value of (256)0.16 × (256)0.09. So,
    By using law of rational exponents
    am × an = am+n we get
    (265)0.16 × (256)0.09 = (256)0.16 × (256)0.09
    = (256)0.16+0.09
    =2560.25
    $=256^{\frac{25}{100}}$
    $(256)^{0.16}\times(256)^{0.09 }=2^{8\times\frac{25}{100}}$
    $=2^{8\times\frac{25}{100}}$
    $=2^{8\times\frac{1}{4}}$
    $=2^{8\times\frac{1}{4}}=4$
    The value of (256)0.16 × (256)0.09 is 4
    Hence the correct choice is a.

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