Answer
See the explanation
Work Step by Step
a. $\sqrt {5} \times \sqrt {125},$
$\sqrt {5\times 125}=25$
b. $\frac{\sqrt {27}}{\sqrt 2}=\sqrt {9\cdot\frac{3}{2}}=3\sqrt {\frac{3}{2}}$
c. $\frac{5.4 \times 10^8}{3\times 10^3}$
$=1.8\times 10^{8-3}$
$=1.8 \times 10^5$
d. $(4.0\times 10^8)(2.4\times 10^{-3})$
$=9.6\times 10^5$