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Take suitable number of cards given in the adjoining diagram [G`(x xx x)` representing `x^2`, R `(x xx 1)` representing x and Y `(1 xx 1)` representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles: (i) `2x^2 + 6x + 4` (ii) `x^2 + 4x + 4`. Factorise `2x^2 + 6x + 4` by using the figure.
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The figure shows the dimensions of a wall having a window and a door of a room. Write an algebraic expression for the area of the wall to be painted.
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Match the expressions of column I with that of column II: Column I Column II (1) `(21x + 13y)^2` (a) `441x^2 – 169y^2` (2) `(21x – 13y)^2` (b) `441x^2 + 169y^2 + 546xy` (3) `(21x – 13y) (21x + 13y)` (c) `441x^2 + 169y^2 – 546xy` (d) `441x^2 – 169y^2 + 546xy`
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Multiplicative inverse of `2^7`
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The human body has about 100 billion cells. This number can be written in exponential form
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`(-4)^4 xx(5/4)^4`
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`(2^-3)^2 xx (3^-2)^3`
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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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Very small numbers can be expressed in standard form using positive
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`(–10) xx (–10) xx (–10) xx (–10) =
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Simplify
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Find x so that `(–5)^(x+1) xx (–5)^5 =
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In `2^n`, n is known
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For a fixed base, if the exponent decreases by 1, the number
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`3^(–2)` can be written
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The value of `1/4^-2`
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The value of `3^5 -: 3^(–6)`
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The value of `(2/5)^-2`
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The reciprocal of `(2/5)^-1`
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The multiplicative inverse of `10^(–100)`
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