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Express as a power of a rational number with negative exponent. (a) `(((-3)/2)^(-2))^(-3)` (b) `(2^5 -: 2^8) xx
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Jan 17, 2022
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Simplify: -1. `(((-)/2)^(-2))^3 xx (1/3)^(-4) xx 3^(-1) xx
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Jan 17, 2022
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By what number should `(–15)^(–1)` be divided so that quotient may be equal to `(–15)^(–1)`
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Jan 17, 2022
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If `53^(x–1) -: 25 = 125`, find the value of
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Write 39,00,00,000 in the standard
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Write 0.000005678 in the standard
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`(16 xx 10^2 xx 64)/(2^4 xx
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The cells of a bacteria double in every 30 minutes. A scientist begins with a single cell. How many cells will be there after (a) 12 hours (b) 24
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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
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At the end of the 20th century, the world population was approximately `6.1 xx 10^9` people. Express this population in usual form. How would you say this number in
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About 230 billion litres of water flows through a river each day. How many litres of water flows through that river in a week? How many litres of water flows through the river in an year? Write your answer in standard
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Find three repeater machines that will do the same work as a `(xx64)` machine. Draw them, or describe them using
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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
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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.
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Find two repeater machines that will do the same work as a `(xx 81)`
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The diameter of the Sun is `1.4 xx 10^9` m and the diameter of the Earth is `1.2756 xx 10^7` m. Compare their diameters by
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Jan 17, 2022
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Find x -1. (1) `-(1/7)^(-5) -: -(1/7)^(-7) = (-7)^x` (2) `(2/5)^(2x+6) xx (2/5)^3 =
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Jan 17, 2022
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Simplify: `(4/13)^4 xx (13/7)^2 xx
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Simplify: `((3^-2)^2 xx (5^2)-3 xx (t^(-3))^2)/((3^(-2))^5 xx (5^3)^(-2) xx
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Jan 17, 2022
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Shyama purchases a scooter costing Rs 36,450 and the rate of sales tax is 9%, then the total amount paid by her
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