Fill in the blanks to make the statement true: 432 = 24 × 3_______
Answer: 432 = 24 × 33 The factors of 432 are 432 = 2 × 2 × 2 × 2... View Article
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Fill in the blanks to make the statement true: 729 = 3_______
Answer: 729 = 36 Factors of 729 = 3 × 3 × 3 × 3 × 3 × 3 729... View Article
Fill in the blanks to make the statement true: 1 million = 10________
Answer: 1 million = 106 Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0... View Article
Fill in the blanks to make the statement true: 1 lakh = 10______
Answer: 1 lakh = 105 Any number can be expressed as a decimal number between 1.0 and 10.0 (including 1.0)... View Article
Fill in the blanks to make the statement true: a6 × a5 × a0 = a____
Answer: a6 × a5 × a0 = a11 We know that, For any non-zero integers ‘a’ and ‘b’ and whole... View Article
Fill in the blanks to make the statement true: (13/14)5 ÷ ( )2 = (13/14)3
Answer: (13/14)5 ÷ (13/14)2 = (13/14)3 We know that, For any non-zero integers ‘a’ and ‘b’ and whole numbers m... View Article
Fill in the blanks to make the statement true: [(-1/4)16]2 = (-1/4)
Answer: [(-1/4)16]2 = (-1/4)32 For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, (am)n = amn... View Article
Fill in the blanks to make the statement true: (6/13)10 ÷ [(6/13)5]2 = (6/13)
Answer: (6/13)10 ÷ [(6/13)5]2 = (6/13)0 In the given question first, consider [(6/13)5]2 For any non-zero integers ‘a’ and ‘b’... View Article
Fill in the blanks to make the statement true: [(7/11)3]4 = (7/11)
Answer: [(7/11)3]4 = (7/11)12 For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, (am)n = amn... View Article
Fill in the blanks to make the statement true: (-1/4)3 × (-1/4) = (-1/4)11
Answer: (-1/4)3 × (-1/4)8 = (-1/4)11 We know that, For any non-zero integers ‘a’ and ‘b’ and whole numbers m... View Article
Fill in the blanks to make the statement true: (11/15)4 × ( )5 = (11/15)9
Answer: (11/15)4 × (11/15)5 = (11/15)9 We know that, For any non-zero integers ‘a’ and ‘b’ and whole numbers m... View Article
Fill in the blanks to make the statement true: (-3)8 ÷ (-3)5 = (-3)
Answer: (-3)8 ÷ (-3)5 = (-3)3 For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, am... View Article
Fill in the blanks to make the statement true: (-2)31 × (-2)13 = (-2)
Answer: (-2)31 × (-2)13 = (-2)44 For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, am... View Article
Which power of 8 is equal to 26? (a) 3 (b) 2 (c) 1 (d) 4
Answer: (b) 2 26 = 2 × 2 × 2 × 2 × 2 × 2 = 64 82 =... View Article
Which of the following is not true? (a) 32 > 23 (b) 43 = 26 (c) 33 = 9 (d) 25 > 5
Answer: (c) 33 = 9 3 × 3 × 3 = 27 Therefore, 27 > 9 Exponent An exponent of... View Article
For non-zero numbers a and b, (a/b)m ÷ (a/b)n, where m>n, is equal to (a) (a/b)mn (b) (a/b)m + n (c) (a/b)m – n. (d) ((a/b)m)n
Answer: (c) (a/b)m – n For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, am ÷... View Article
In standard form 72 crore is written as (a) 72 × 107 (b) 72 × 108 (c) 7.2 × 108 (d) 7.2 × 107
Answer: (c) 7.2 × 108 Any number can be expressed as a decimal number between 1.0 and 10.0 (including 1.0)... View Article
Which of the following has the largest value? (a) 0.0001 (b) 1/10000 (c) 1/106 (d) (1/106) ÷ 0.1
Answer: (a) 0.0001 (b) 1/10000 The fraction whose denominator is the smallest will be the largest number. Consider option (a)... View Article
In standard form, the number 829030000 is written as K × 108 where K is equal to (a) 82903 (b) 829.03 (c) 82.903 (d) 8.2903
Answer: (d) 8.2903 Any number can be expressed as a decimal number between 1.0 and 10.0 (including 1.0) multiplied by... View Article
(2/3)3 × (5/7)3 is equal to (a) ((2/3) × (5/7))9 (b) ((2/3) × (5/7))6 (c) ((2/3) × (5/7))3 (d) ((2/3) × (5/7))0
Answer: (c) ((2/3) × (5/7))3 For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n. am ×... View Article
