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`(–4)^(–4) xx (4)^(–1) =
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Jan 17, 2022
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`(–6)^0 =
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The expression for `4^(–3)` as a power with the base 2 is
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Express `27/64` and `(-27)/64` as powers of a rational
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Find the value of x so that `(5/3)^(-3) xx (5/3)^(-14) =
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Find the value of `x^(–3)` if `x = (100)^(1–4) -:
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Find the multiplicative inverse of `(–7)^(–2) -:
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Special balances can weigh something as 0.00000001 gram. Express this number in the standard
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The number of red blood cells per cubic millimetre of blood is approximately 5.5 million. If the average body contains 5 litres of blood, what is the total number of red cells in the body? Write the standard form. (1 litre = 1,00,000
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Express each of the following in standard form: -1. (a) The mass of a proton in gram is `1673/1000000000000000000000000000` (b) A Helium atom has a diameter of 0.000000022
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A new born bear weighs 4 kg. How many kilograms might a five year old bear weigh if its weight increases by the power of 2 in 5
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The planet Uranus is approximately 2,896,819,200,000 metres away from the Sun. What is this distance in standard
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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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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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Jan 17, 2022
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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
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Jan 17, 2022
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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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Jan 17, 2022
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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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Supply the missing information for each diagram. (a) (b) (c) (d)
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Mass of Mars is `6.42 xx 10^29` kg and mass of the Sun is `1.99 xx 10^30` kg. What is the total
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