What is the product of 73 and 4, point, 4, times, 10, to the power 64.4×10

6
expressed in scientific notation?

1 answer

To express the product of 73 and 4.4 times 10 to the power of 64.4×10^6 in scientific notation, we need to move the decimal point to the right until there is only one non-zero digit to the left of the decimal point.

First, we will simplify the expression by multiplying the numbers:
73 × 4.4 = 321.2

Next, we will multiply this result by 10 to the power of 64.4×10^6:
321.2 × 10^64.4×10^6

When we multiply a number by 10 raised to a certain power, we move the decimal point to the right by that many places. So, we need to move the decimal point 64.4×10^6 places to the right.

The final expression in scientific notation is:
3.212 × 10^64.4×10^6