Railways PYQCBT 1 2016

RRB NTPC · પ્રશ્ન 97

Simplify: {[(x^4)^(3 − 2a)] × [(x^(2a + 1))^a]} ÷ {[(x^(3a − 5))^2] × [(x^(a + 1))^(2a − 1)]}

  1. x^(4a)

  2. x^(23 − 14a)

  3. x^(22 − 7a)

  4. x^23

જવાબ બતાવો અને સમજૂતી

જવાબ: (B) x^(23 − 14a)

સમજૂતી

Exponents: (x⁴)^(3−2a) = x^(12−8a); (x^(2a+1))^a = x^(2a²+a); (x^(3a−5))² = x^(6a−10); (x^(a+1))^(2a−1) = x^(2a²+a−1). Total exponent = 12 − 8a + 2a² + a − 6a + 10 − 2a² − a + 1 = 23 − 14a, so the answer is x^(23−14a).