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18 Nov 2016, 13:00
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IamWeezel
hey guys,
is there something like a trick to solve problems like 4^4 quickly.
or something like 625=x^y
is there something like a trick to solve problems like 4^4 quickly.
or something like 625=x^y
\(4^4 = 2^8 = 256\)
625=x^y
Or, \(5^4 = x^y\) , so x = 5 & y = 4
19 Nov 2016, 10:42
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Yes, you can turn 4^4 into (2^2) ^4 = 2^8
Or if you want to mentally multiply, it's 4*4 = 16
16*4 =64
64 *4 -- this one gets a little bit more complicated.
Here's how you tackle:
Round 64 to the more comfortable number 60 -- and multiply 60 * 4 = 240
Now we need to add to this 240 -- how much?
Since we reduced 64 down to 60 by an amount of 4, we need to now take that 4 and multiply it by 4 -- that's 16.
Add this 16 back to the 240 and you get 240 + 16 = 256
Or if you want to mentally multiply, it's 4*4 = 16
16*4 =64
64 *4 -- this one gets a little bit more complicated.
Here's how you tackle:
Round 64 to the more comfortable number 60 -- and multiply 60 * 4 = 240
Now we need to add to this 240 -- how much?
Since we reduced 64 down to 60 by an amount of 4, we need to now take that 4 and multiply it by 4 -- that's 16.
Add this 16 back to the 240 and you get 240 + 16 = 256
