Find: 64^1/2
641/2 = (8 × 8)1/2 = (82)½ = 81 Answer 641/2= 81
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Find: 125^1/3
(125)1/3 = (5 × 5 × 5)1/3 = (53)⅓ = 51 = 5 Answer (125)1/3 =5
Find: 125^-1/3
125-1/3 = (5 × 5 × 5)-1/3 = (53)-1⁄3 = 5-1 = 1/5 Answer 125-1/3 =1/5
Simplify: (1/3^3) ^7
(1/33)7 = (3-3)7 ⸪ As, (am)n = am x n = 3-21 Answer (1/33)7= 3-21
Simplify: 7^1/2×8^1/2
71/2 × 81/2 = (7 × 8)1/2 ⸪ As, am × bm = (a × b)m = 561/2 Answer 71/2 × 81/2 =561/2
Simplify: 2^2/3×2^1/5
22/3 × 21/5 = 2(2/3) + (1/5) ⸪ As, am × an = am + n = 213/15 Answer 22/3 × 21/5 = 213/15
Simplify: 11^1/2/11^1/4
111/2/111/4 = 11(1/2) – (1/4) ⸪ As, am × a-n = am – n = 111/4 Answer 111/2/111/4 = 111/4
In Fig., ABC = 69°, ACB = 31°, find BDC.
Given: ∠ABC=69°,∠ACB=31°To find: ∠BDC=?Solution: In ∆ABC∠A+∠B+∠C=180° ———[Angle sum property of ∆]∠A+69°+31°=180°∠A=180°-100°∠A=80°∠A and ∠D lie on the same segment, therefore,∠D=∠A∠D=80° Answer∠BDC=80°
In, B < A and C < D. Show that AD < BC.
Solution Given Given: ∠B < ∠A and ∠C < ∠D To Prove AD<BC Proof In ∆BOA ∠B < ∠A ∴AO<BO———(i)... View Article
Represent (√9.3) on the number line.
To represent √9.3 on the number line, follow the following steps, Step 1: Draw a 9.3 units long line segment, name... View Article
Solve the following equation: 6x = 12
Solution 6x = 12 On rearranging the terms we get x = 12/6 x = 2 Answer x = 2
Solve the following equation: 6 = z + 2
Solution 6 = z + 2 On rearranging the terms we get z + 2 = 6 z = 6... View Article
Solve the following equation: x – 2 = 7
Solution x – 2 = 7 On rearranging the terms we get x=7+2 x=9 Answer x=9
Solve the following equation: t/5 = 10
Solution t/5 = 10 On rearranging the terms we get t = 10 × 5 t = 50 Answer t... View Article
Solve the following equation: y + 3 = 10
Solution y + 3 = 10 On rearranging the terms we get y = 10 –3 (Subtracting 3 from both... View Article
Solve the following equation: 2x/3 = 18
Solution 2x/3 = 18 Multiplying both sides by 3 2x = 18 × 3 2x = 54 x = 54/2 ... View Article
Solve the following equation: 17 + 6p = 9
Solution 17 + 6p = 9 Rearranging the like terms we get 6p = 9 – 17 6p = -8... View Article
Solve the following equation: 7x – 9 = 16
Solution 7x – 9 = 16 On rearranging the terms 7x = 16+9 7x = 25 x = 25/7 Answer... View Article
All rhombuses are kites. (True or False)
All rhombuses are kites. Ans: True In the rhombus, diagonals bisect each other which is similar to kites.
All kites are rhombuses. (True or False)
All kites are rhombuses. Ans: False All sides are not equal in Kite. The length of the sides of a kite are... View Article
