⁞ Surds And Indices
Aptitude ➤ Surds And Indices ➤ 1
1. LAWS OF INDICES:
(i) am x an = am + n
(ii) am / an = am - n
(iii) (am)n = amn
(iv) (ab)n = anbn
(v) (a / b)n = an / bn
(vi) a0 = 1
2. SURDS:
Let 'a' be a rational number and 'n' be a positive integer such that a1/n = n√a is irrational. Then n√a is called a surd of order n.
3. LAWS OF SURDS:
(i) n√a = a1/n
(ii) n√ab = (n√a) x (n√b)
(iii) n√(a/b) = (n√a) / (n√b)
(iv) (n√a)n = a
(v) m√(n√a) = mn√a
(vi) (n√a)m = n√am
(i) am x an = am + n
(ii) am / an = am - n
(iii) (am)n = amn
(iv) (ab)n = anbn
(v) (a / b)n = an / bn
(vi) a0 = 1
2. SURDS:
Let 'a' be a rational number and 'n' be a positive integer such that a1/n = n√a is irrational. Then n√a is called a surd of order n.
3. LAWS OF SURDS:
(i) n√a = a1/n
(ii) n√ab = (n√a) x (n√b)
(iii) n√(a/b) = (n√a) / (n√b)
(iv) (n√a)n = a
(v) m√(n√a) = mn√a
(vi) (n√a)m = n√am
Question 1
Q1. Simplify : (1024)-(4/5)
Question 2
Q2. Find the value of
Answer : 5
= 51 = 5
⚔ DISCUSS
Question 3
Q3. Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to :
Question 4
Q4. If (1/5)3y = 0.008, then find the value of (0.25)y.
Question 5
Q5. The value of [(10)150 ÷ (10)146]
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