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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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Use the properties of exponents to verify that each statement is true. (a) `1/4(2^n) = 2^(n-2)` (b) `4(n-1) = 1/4(4)^n` (c) `25(5^(n–2)) =
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Stretching Machine Suppose you have a stretching machine which could stretch almost anything. For example, if you put a 5 metre stick into a `(xx 4)` stretching machine (as shown below), you get a 20 metre stick. Now if you put 10 cm carrot into a `(xx 4)` machine, how long will it be when it comes out?
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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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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?
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What happens when 1 cm worms are sent through these hook-ups?
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Shikha has an order from a golf course designer to put palm trees through a `(xx 2^3)` machine and then through a `(xx 3^3)` machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?
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Find two repeater machines that will do the same work as a `(xx 81)`
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Simplify: `(1/5)^45 xx (1/5)^(-60) - (1/5)^+28 xx
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Simplify: `((9) xx 27 xx t^4)/((3)^(-2) xx (3)^4 xx
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A shirt with marked price Rs 800 was sold at Rs 680. The rate of discount allowed on the shirt
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Rs 1600 lent at a compound interest of 5% per annum, compounded half yearly for one year will amount
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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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A jacket was sold for Rs 1,120 after allowing a discount of 20%. The marked price of the jacket
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Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction he has
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Discount = Discount % of
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_________ is charged on the sale of an item by the government and is added to the bill
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Amount when interest is compounded annually is given by the formula
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Sales tax = tax % of
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