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Cube Numbers

If 1000=2 × 2...

Question

If 1000 = 2 × 2 × 2 × 5 × 5 × 5 then cube root of 1000 is:

A

25

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B

8

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C

15

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D

10

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Solution

The correct option is D
10

Cube root of 1000 is 2 × 5 = 10.

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100 - 10 \times 1000 \div 1000 + 100 \times 10 = ?

Q. Write in simple form:

(14 x^{1000} + 20 x^{10} y^{5} + 3 y^{1000}) + (- 2 y^{1000} - 10 x^{10} y^{5} + x^{2} - 14 x^{1000})

Q. Write the corresponding numeral for each of the following:
(i) 6 × 10000 + 2 × 1000 + 5 × 100 + 8 × 10 + 1
(ii) 5 × 100000 + 8 × 10000 + 1 × 1000 + 6 × 100 + 2 × 10 + 3 × 1
(iii) 2 × 10000000 + 5 × 100000 + 7 × 1000 + 9 × 100 + 5 × 1
(iv) 3 × 1000000 + 4 × 100000 + 6 × 1000 + 5 × 100 + 7 × 1

(14 x^{1000} + 20 x^{10} y^{5} + 3 y^{1000}) +

(- 2 y^{1000} - 10 x^{10} y^{5} + x^{2} - 14 x^{1000})

ω

is a cube root of unity, then

(1 + ω - ω^{2})^{5} + (1 - ω + ω^{2})^{5} =

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