To write the number 0.00000046963 in scientific notation, you need to express it as the product of a decimal number between 1 and 10 and a power of 10.
- Move the decimal point to the right until you have a number between 1 and 10. In this case, moving the decimal point 7 places to the right gives you 4.6963.
- Since you moved the decimal point 7 places to the right, the exponent will be -7.
Thus, in scientific notation, 0.00000046963 is written as:
\[ 4.6963 \times 10^{-7} \]