[tex]\begin{gathered} We\text{ are asked to simplify the following:} \\ 2^{-3}*2^{-4} \\ We\text{ know that whenever we have numbers with the same base \lparen in this case 2\rparen multiplied by each other,} \\ we\text{ are to add the relevant exponents and keep the base.} \\ Adding\text{ -3 + -4 = -7} \\ We\text{ then have 2}^{-7} \\ Lastly,\text{ we know that when we have a number with a negative exponent, this is the same as the inverse of that number.} \\ 2^{-7\text{ }}=\text{ }\frac{1}{2^7} \end{gathered}[/tex]
The correct option is option number 2.
