Olympiad Test: Exponents And Powers
20 Questions MCQ Test NCERT Mathematics for CAT Preparation | Olympiad Test: Exponents And Powers
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Since ao = 1 for any 'a', (30−40) × 5−3 = (1−1) × 5−3 = 0
⇒ (1 x 1000) +(2 x 100) + (5 x 10) + (6 x 1) + (2/10) + (4/100) + (9/1000) .
⇒ (1 x 103) + (2 x 102) + (5 x 101) + (6 x 100) + (2 x 10-1) + (4 x 10-2) +(9 x 10-3) (Ans)
33x−5 = 3−2x ⇒ 3x−5 =−2x
[When bases are equal, powers can be equated.]
⇒ 5x = 5
⇒ x = 1
(-3)2 x (5/3)2 = (-1)2(3)2-2(25) = 25
Write the expression using exponents: 89 × 89 × 89 × 89
23 = 2x2x2 = 8
Simplify and write in exponential form: p3×p−10
Very small numbers can be expressed in standard form using __________ exponents.
The area of a square is given by the formula A = c2. What will be the total area of 5 such similar squares, if the side of a square is 8 ft?
Evaluate the exponential expression (−n)4× (−n)2, for n = 5.
The area of a square is given by the formula A = side2. What will be the total area of 5such similar squares, if the side of a square is 7 in?
Side of the square is 7 inches
So area of one square is 72 = 49
Total area of 5 such squares is
49×549×5 = 245 in2
Which of the following is the value of (4 / 5)-9 / (4 / 5)-9?
25/2-6 = 25-(-6) = 211
Find the value of the expression a2 for a = 10.
a = 10, a2 = 102
10x10 =100
Hence answer is 72
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