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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) multiplied by a power of 10. Such... 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 numbers m and n, am... 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 [(-1/4)16]2... 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... 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 [(7/11)3]4 =... 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 and... 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 and... 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 ÷ an =... 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 × an =... 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 = 8 × 8 = 64 An exponent of a number represents the number... 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 An exponent of a number represents the number of times the number is... 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 ÷ an = am–n... 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) multiplied by a power of 10.... 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) 0.0001 = 1/10000... 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 a power of 10. Such form of... 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 × bm =... View Article

Which of the following is not equal to 1 ? (a) (2³ × 3³)/(4 × 18) (b) [(-2)³ × (-2)⁴] ÷ (-2)⁷ (c) (3⁰ × 5³)/(5 × 25) (d) 2⁴/(7⁰ + 3⁰)³

Answer: (d) 24/(70 + 30)3 Consider the option (a) (23 × 33)/(4 × 18) = (2 × 2 × 2 × 3 × 3 × 3)/(4... View Article

Which of the following is not equal to (-5/4)⁴? (a) (-5)⁴/4⁴ (b) 5⁴/(-4)⁴ (c) –(5⁴/4⁴) (d) (-5/4) × (-5/4) × (-5/4) × (-5/4)

Answer: (c) –(54/44) (-5/4)4 = (-5)4/44 (-5/4)4 = 54/(-4)4 (-5/4)4 = (-5/4) × (-5/4) × (-5/4) × (-5/4) (-5/4)4≠... View Article

cube of (-1/4) is (a) -1/12 (b) 1/16 (c) -1/64 (d) 1/64

Answer: (c) -1/64 Cube of (-1/4) is = -13/43 = (-1 × -1 × -1)/(4 × 4 × 4) = -1/64 An exponent of a number represents... View Article