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Exponents

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                               EXPONENTS Exponents - An exponent refers to a number that how many times to use the number in a mathematical operation like multiplication, division etc.  Exponents is also termed as power.  Power - An expression that represents repeated multiplication of the same number is called a power. Special cases when the exponent is 0 or 1 :- Case 1.  When the power is 0 a^0 = 1 67^0 = 1 Case 2. When the power is 1  a^1 = a 9^1 = 9                     Laws of Exponents The following identities hold for all integer exponents :- Practice Questions:- 1.Find out the value of (2/5) 3  ?   2.What is the power of a number when squared? 3. Simplify: (3/2) 2  + (2/3) 2  + (5/4) 2 4.  If 4 x  = 64, then 3 2x  = ? 5. Divide x 5  by x 2   ...
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Ratio and proportion

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Q. 1. If a : b = 7 : 9 and b : c =15 : 7, then what is a : c A) 5 : 3 B) 3 : 5 C) 7 : 21 D) 7 : 15 Q. 2. ₹ 6200 is divided into three parts proportional to 1/2 : 1/3 : 1/5 are respectively A) ₹3000, ₹2000, ₹1200 B) ₹3500, ₹1500, ₹1200 C) ₹2500, ₹2000, ₹1700 D) ₹2200,  ₹3000,  ₹1000   Q. 3. The ratio of A to B is 4 : 5 and that of B to C is 2 : 3.If A equals 800,C equals A) 1000 B) 1200 C) 1500 D) 2000 Q. 4. If A = 4/5 of B and B = 5/2 of C, then the ratio of A : C is  A) 1 : 2 B) 2 : 1 C) 2 : 3 D) 1 : 3 Q. 5. If 2A=3B=4C, then A:B:C is A) 2 : 3 : 4 B) 4 : 3 : 2 C) 6 : 4 : 3 D) 3 : 4 : 6 Q. 6. If (3x + 5)/(5x - 2) = 2/3, then the  value of x is  A) 11 B) 19 C) 23 D) 7 Q. 7. What must be added to each term of the ratio 2 : 5 so that it may equal to 5 : 6 ? A) 65 B) 78 C) 13 D) 12 Q. 8. If x/y = 3/4, the ratio of (2x +3y) and (3y - 2x) is A) 2 : 1 B) 3 : 2 C) 1 : 1 D) 3 : 1 Q. 9. Two numbers are in the ratio 4 : 5 and their L.C.M. is 180. The smaller numb...
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