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Verify the following: `(a – b) (a – b) (a – b) = a^3 – 3a^2b + 3ab^2 –

asked Jan 17, 2022 in 8th-maths

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Find the value of a, if `pq^2a = (4pq + 3q)^2 – (4pq –

asked Jan 17, 2022 in 8th-maths

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The distance between earth and sun is 150 million kilometres which can be written in exponential form as

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Simplify

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The value of `(2/5)^-2`

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If x be any integer different from zero and m be any positive integer, then `x^–m` is equal

asked Jan 17, 2022 in 8th-maths

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For a non-zero integer x, `(x^4)^(–3)` is equal

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For any two non-zero rational numbers x and y, `x^4 -: y^4` is equal

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`[(2/13)^(-1) -: (2/13)^3]^3 xx (2/13)^(-13)` =

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`(2/3)^(-2) xx (2/3)^(-5) =

asked Jan 17, 2022 in 8th-maths

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The usual form for `2 xx 10^(–2)` is not equal to

asked Jan 17, 2022 in 8th-maths

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Some migratory birds travel as much as 15,000 km to escape the extreme climatic conditions at home. Write the distance in metres using scientific

asked Jan 17, 2022 in 8th-maths

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Predicting the ones digit, copy and complete this table and answer the questions that follow. (a) Describe patterns you see in the ones digits of the

asked Jan 17, 2022 in 8th-maths

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Astronomy The table shows the mass of the planets, the sun and the moon in our solar system. (a) Write the mass of each planet and the Moon in scientific

asked Jan 17, 2022 in 8th-maths

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The given table shows the crop production of a State in the year 2008 and 2009. Observe the table given below and answer the given questions. Crop 2008 Harvest (Hectare) Increase/Decrease (Hectare) in 2009 Bajra `1.4 × 10^3` – 100 Jowar `1.7 × 10^6` -440,000 Rice `3.7 × 10^3` – 100 Wheat `5.1 × 10^5` + 190,000 (a) For which crop(s) did the production decrease? (b) Write the production of all the crops in 2009 in their standard form. (c) Assuming the same

asked Jan 17, 2022 in 8th-maths

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Repeater Machine Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a `(xx 2^4)` machine is the same as putting it through a (xx 2) machine four times. So, if you send a 3 cm piece of wire through a `(xx 2^4)` machine, its length becomes `3 xx 2 xx 2 xx 2 xx 2 = 48` cm. It can also be written that a base (2) machine is being applied 4 times. What will be the new length of a 4 cm strip inserted in

asked Jan 17, 2022 in 8th-maths

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In a repeater machine with 0 as an exponent, the base machine is applied 0 times. (a) What do these machines do to a piece of chalk? (b) What do you think the value of 60

asked Jan 17, 2022 in 8th-maths

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Shrinking Machine In a shrinking machine, a piece of stick is compressed to reduce its length. If 9 cm long sandwich is put into the shrinking machine below, how many cm long will it be when it emerges?

asked Jan 17, 2022 in 8th-maths

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Sanchay put a 1cm stick of gum through a `(1 xx 3^(–2))` machine. How long was the stick when it came

asked Jan 17, 2022 in 8th-maths

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Neha needs to stretch some sticks to `25^2` times their original lengths, but her `(xx2^5)` machine is broken. Find a hook-up of two repeater machines that will do the same work as a `(xx25^2)` machine. To get started, think about the hookup you could use to replace the `(xx2^5)` machine.

asked Jan 17, 2022 in 8th-maths

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