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