what is 1 doubled 60 times

Question

1x2 2x2 4x2 8x2

Answer 1

2⁶⁰=1,152,921,504,610,000,000 approx.

To get a more accurate answer use 2¹⁰=1024=10³×1.024.

So 2⁶⁰=(10³)⁶(1+0.024)⁶.

(1+0.024)⁶=1+6(0.024)+15(0.024)²+20(0.024)³+15(0.024)⁴+6(0.024)⁵+(0.024)⁶=

1.000000000191102976+

6(0.024+0.000000007962624)+

15(0.000576+0.000000331776)+

20(0.000013824)=

1.000000000191102976+

6(0.024000007962624)+

15(0.000576331776)+

20(0.000013824)=

1.000 000 000 191 102 976+

0.144 000 047 775 744+

0.008 644 976 640+

0.000 276 480

1.152 921 504 606 846 976 (spaces have been used for easier readability).

2⁶⁰=1.152921504606846976×10¹⁸=1,152,921,504,606,846,976.