# Simplify the expression (a^(-11)*a^(4))/(a^(-3)) and find its value at a=-1/2. Write down the resulting number in your answer.

Simplify the expression $\frac{{a}^{-11}\ast {a}^{4}}{{a}^{-3}}$ and find its value at $a=-\frac{1}{2}$. Write down the resulting number in your answer.
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Monserrat Ellison
$\frac{{a}^{-11}\ast {a}^{4}}{{a}^{-3}}=\frac{{a}^{-11+4}}{{a}^{-3}}={a}^{-7-\left(-3\right)}={a}^{-4}=\left(-\frac{1}{2}{\right)}^{-4}=\left(-2{\right)}^{4}=16$