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... View Article
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... View Article
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... View Article
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... View Article
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... View Article
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... 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 the line as... 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... View Article
Solve the following equation: 6 = z + 2 Solution 6 = z + 2 On rearranging the terms we get z + 2 = 6 z = 6 – 2 (Subtracting two from both sides) z = 4 Answer z = 4... 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... View Article
Solve the following equation: t/5 = 10 Solution t/5 = 10 On rearranging the terms we get t = 10 × 5 t = 50 Answer t = 50... 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 sides of the equation) y = 7 Answer y = 7... 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 x = 27 Answer x = 27... View Article
Solve the following equation: 17 + 6p = 9 Solution 17 + 6p = 9 Rearranging the like terms we get 6p = 9 – 17 6p = -8 p = -8/6 Simplifying the equation p = -4/3... 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 x = 25/7 ... 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. ... View Article
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 not of same length.... View Article