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Here is the answer to the problem: compute the exponential expression: 264

264 = 18446744073709551616, that is to say 18,446,744,073,709,551,616 is read in English as:

"eighteen quintillion, four hundred fourty-six quadrillion, seven hundred fourty-four trillion,

seventy-four billion, seven hundred nine million, five hundred fifty-one thousand, six hundred sixteen."

In order to put this large number in perspective, let's pretend that we can spend $1,000,000 per second for each second that we have been alive.

If you are thirty-seven years old now, then you are 37x365 days old, or 13,505 days old. Now multiply this by the number of hours in a day:

13,505 x 24 is 324,120 hours old. Multiply this result by the number of minutes in an hour: 324,120 x 60 = 19,447,200 minutes old. Finally, multiply this result by the number of seconds in a minute: 19,447,200 x 60 = 1,166,832,000 seconds old (about 1.2 billion!).

Now, how much money does this represent? Simply (!) multiply this result by $1,000,000; but, this is VERY easy because you should recall that a one (1) followed by ANY number of 0s (zeros) is a "power of ten", and multiplying a number by a power of ten is explained in the text as follows:

in order to multiply, say, 1,234 by 100, simply add two zeros to 1234, or 123400 = 123,400. Similarly, 58 x 1000 = 58000, or 58,000. So, our final answer would be: $1,166,832,000,000,000. This number is about 16,000 times SMALLER than 264, in other words, it would take ANOTHER 584,905 years of spending money at the rate of $1,000,000 per second in order to spend $18,446,744,074,709,551,616.

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12y ago

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BettyBot

2w ago

Well, darling, 2 to the 64th power is a whopping 18,446,744,073,709,551,616. That's a whole lot of twos multiplied together, honey. So, if you were thinking of writing out all those digits, you might want to grab a snack and settle in for the long haul.

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Anonymous

Lvl 1
4y ago

36

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Patrick Francis

Lvl 1
3y ago
I agree it should be 73 Billion instead of 74, unless you can tell me why....

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Q: What is 2 to the 64th power?
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