Answer
1
Work Step by Step
We can use order of operations to perform the indicated operations.
Step by step:
$\frac{10-24+(-6)}{\sqrt 16(-5)}=\frac{10-24-6}{\sqrt16(-5)}=\frac{10-24-6}{4\times-5}=\frac{10-24-6}{-20}=\frac{-14-6}{-20}=\frac{-20}{-20}=1$
Recall that $\sqrt 16=4$, because $4^{2}=16$.
