How the quantity of information available on the Internet compares with $1$ Googol?

If $c=8.32\times {10}^4 \text{and} e=5.32\times {10}^5$

Evaluate the following. Represent your answers in scientific notation.

$e^2-c^2$

If $d=7.6\times {10}^{-3}$

Evaluate the following. Represent your answers in scientific notation.

$\frac{1}{d}$

If $a=1.3\times {10}^6, b=4.9\times {10}^{-2}, d=7.6\times {10}^{-3}$

Evaluate the following. Represent your answers in scientific notation.

$2abd$

If $c=8.32\times {10}^4$ and $e=5.32\times {10}^5$

Evaluate the following. Represent your answers in scientific notation.

${\left(ce\right)}^2$

In the Tower of Hanoi puzzle, it would take the priests $2^{64}-1$ moves to transfer the $64$ disks to a different post, maintaining their order. Using a calculator, write down the number of moves using scientific notation.

Calculate the number of seconds in one year. Represent your answer in scientific notation.

In the Tower of Hanoi puzzle, it would take the priests $2^{64}-1$ moves to transfer the $64$ disks to a different post, maintaining their order. Legend has it that the world will end when the monks move the final disk to the new post. Suppose each move takes $1$ second. Find the number of years it will take the monks to complete the puzzle if there are $64$ disks. Show your working using scientific notation.