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Factorise the following using the identity `a^2 – b^2 = (a + b) (a – b)`. `p^5 –
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Factorise the expressions and divide them as directed: `(9x^2 – 4) -: (3x +
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The area of a circle is given by the expression `πx^2 + 6πx + 9π`. Find the radius of the
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Verify the following: `(7p – 13q)^2 + 364pq = (7p +
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Factorise `p^4 + q^4 +
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The product of two expressions is `x^5 + x^3 + x`. If one of them is `x^2 + x+ 1`, find the
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If x be any non-zero integer, then `x^–1` is equal
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Very large numbers can be expressed in standard form by using _________
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The usual form of `2.39461 xx 10^6` is
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The value of `(1/4)^(-2)` is equal to
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The expression for `4^(–3)` as a power with the base 2 is
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The value of `5^(–2)` is equal to
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Express `16^(–2)` as a power with the base
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Find the value of x so that `(2^(–1) + 4^(–1) + 6^(–1) + 8^(–1))x =
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Pluto is 59,1,30,00, 000 m from the sun. Express this in the standard
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By what number should `((-3)/2)^(-3)` be divided so that the quotient may be `(4/27)^(-2)`
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`6^n/6^(-2) =
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This table shows the mass of one atom for five chemical elements. Use it to answer the question given. Element Mass of atom (kg) TitaniumLeadSilverLithiumHydrogen `7.95 × 10^(–26)` `3.44 × 10^(–25) ``1.79 × 10^(–25)``1.15 × 10^(–26)``1.674 × 10^(–27) `
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The volume of the Earth is approximately `7.67 xx 10^(–7)` times the volume of the Sun. Express this figure in usual
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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
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