Subtract 4.66×10^−5−7.34×10^−7 (1 point)

Responses

2.68×102
2.68 times 10 squared

−2.68×102
negative 2.68 times 10 squared

−4.5866×10−5
negative 4.5866 times 10 superscript negative 5 baseline

4.5866×10^−5

1 answer

To subtract \(4.66 \times 10^{-5}\) and \(7.34 \times 10^{-7}\), we need to express both numbers in the same exponent base:

  1. First, convert \(7.34 \times 10^{-7}\) to the same exponent as \(4.66 \times 10^{-5}\): \[ 7.34 \times 10^{-7} = 0.0734 \times 10^{-5} \]

  2. Now we can subtract: \[ 4.66 \times 10^{-5} - 0.0734 \times 10^{-5} = (4.66 - 0.0734) \times 10^{-5} = 4.5866 \times 10^{-5} \]

Thus, the result of the subtraction is: \[ \boxed{4.5866 \times 10^{-5}} \]