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Chapter 13

Exponents and Powers

Mathematicsβ€’Class 7β€’CBSE

20 Questions Available

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1

Express 343 as a power of 7.

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2

Evaluate:

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3

Give three examples of shapes with no line of symmetry.

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4

Express each of the following as a product of prime factors is the exponential form:

(i) 729 Γ— 125

(ii) 384 Γ— 147

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5

Express the following in exponential form:

(i) 5 Γ— 5 Γ— 5 Γ— 5 Γ— 5

(ii) 4 Γ— 4 Γ— 4 Γ— 5 Γ— 5 Γ— 5

(iii) (-1) Γ— (-1) Γ— (-1) Γ— (-1) Γ— (-1)

(iv) a Γ— a Γ— a Γ— b Γ— c Γ— c Γ— c Γ— d Γ— d

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6

Find the value of k in each of the following:

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7

Simplify:

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8

Find the value of:

(i) (-1)1000

(ii) (1)250

(iii) (-1)121

(iv) (10000)0

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9

Express the following number as a powers of prime factors:

(i) 144

(ii) 225

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10

Simplify the following and write in exponential form:

(i) (52)3

(ii) (23)3

(iii) (ab)c

(iv) [(5)2]2

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11

Simplify the following:

(i) 103 Γ— 90 + 33 Γ— 2 + 70

(ii) 63 Γ— 70 + (-3)4 – 90

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12

Which is greater 32 or 23?

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13

Express each of the following as product of powers of their prime factors:

(i) 405

(ii) 504

(iii) 500

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14

Write the following in expanded form:

(i) 70,824

(ii) 1,69,835

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15

Find the value of

(a) 30 Γ· 40

(b) (80 – 20) Γ· (80 + 20)

(c) (20 + 30 + 40) – (40 – 30 – 20)

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16

If

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17

Simplify and write in exponential form:

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18

Express the following in standard form:

(i) 8,19,00,000

(ii) 5,94,00,00,00,000

(iii) 6892.25

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19

Find the number from each of the expanded form:

(i) 7 Γ— 108 + 3 Γ— 105 + 7 Γ— 102 + 6 Γ— 101 + 9

(ii) 4 Γ— 107 + 6 Γ— 103 + 5

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20

Verify the following:

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