Subtract 4.66×10−5−7.34×10−7 (1 point) Responses −4.5866×10−5 negative 4.5866 times 10 superscript negative 5 baseline −2.68×102 negative 2.68 times 10 squared 2.68×102 2.68 times 10 squared 4.5866×10−5

1 answer

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

The first term, \( 4.66 \times 10^{-5} \), can be written as \( 4.66 \times 10^{-5} = 4.66 \times 10^{-5} \times \frac{100}{100} = 4.66 \times 10^{-5} = 4.66 \times 10^{-5} \).

The second term, \( 7.34 \times 10^{-7} \), needs to be converted to the same exponent:

  • To write \( 7.34 \times 10^{-7} \) with a base of \( 10^{-5} \), we adjust it: \[ 7.34 \times 10^{-7} = 0.0734 \times 10^{-5} \]

Now we can perform the subtraction: \[ 4.66 \times 10^{-5} - 0.0734 \times 10^{-5} = (4.66 - 0.0734) \times 10^{-5} = 4.5866 \times 10^{-5} \]

So, the result of \( 4.66 \times 10^{-5} - 7.34 \times 10^{-7} \) is:

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