Subtract 4.66×10^−5−7.34×10^−7 (1 point)Responses−2.68×102negative 2.68 times 10 squared−4.5866×10−5negative 4.5866 times 10 superscript negative 5 baseline4.5866×10−54.5866 times 10 superscript negative 5 baseline2.68×102

Answer 1

To subtract the numbers \(4.66 \times 10^{-5}\) and \(7.34 \times 10^{-7}\), we first need to express them with the same exponent.

Convert \(4.66 \times 10^{-5}\) to have the same exponent as \(7.34 \times 10^{-7}\):

\[ 4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{100}{100} = 4.66 \times 10^{-5} \times 10^{2} = 4.66 \times 10^{-7} \times 100 \]

So we can write: \[ 4.66 \times 10^{-5} = 466 \times 10^{-7} \]

Now we perform the subtraction:

\[ 466 \times 10^{-7} - 7.34 \times 10^{-7} \]

Subtracting the numbers:

\[ (466 - 7.34) \times 10^{-7} = 458.66 \times 10^{-7} \]

Next, we can express that in scientific notation:

\[ 458.66 \times 10^{-7} = 4.5866 \times 10^{-5} \]

So the final answer is:

\[ \boxed{4.5866 \times 10^{-5}} \]