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163/2 + 16 -3/2 = ?

Home » Aptitude » Surds and Indices » Question
  1. 163/2 + 16 -3/2 = ?
    1. 0
    2. 4097/64
    3. 1
    4. 16/9097
Correct Option: B

163/2 + 16-3/2
Apply the law of Fractional Exponents and Laws of Exponents
am x an = am+n
a-m = 1/am
⇒163/2 + 1/163/2
⇒(161/2)3 + 1/(161/2)3
⇒(42 x 1/2)3 + 1/(42 x 1/2)3
⇒43 + 1/43
⇒ 64 + 1/64
⇒ (64 x 64+ 1)/64
= (4096+1)/64
= 4097/64



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