Divide. Write your answer in scientific notation. 3 × 10⁻⁴ 5 × 10⁻⁹ _____

To divide the two numbers in scientific notation, you need to divide their coefficients and subtract the exponents of the powers of ten.

1. Divide the coefficients:

( frac{3}{5} = 0.6 )

2. Subtract the exponents:

( -4 – (-9) = -4 + 9 = 5 )

Now combine the results:

( 0.6 times 10^{5} )

Since we want to express this in proper scientific notation, we convert ( 0.6 ) to ( 6 times 10^{-1} ):

So,

( 0.6 times 10^{5} = 6 times 10^{-1} times 10^{5} = 6 times 10^{4} )

Thus, the final answer in scientific notation is:

( 6 times 10^{4} )