Answer
$8$.
Work Step by Step
The given expression is
$=(0.1)^3(20)^3$
Factor each term.
$=(1\cdot 10^{-1})^3(2\cdot 10^1)^3$
Use the law of exponents $=a^n\cdot b^n=\left (a\cdot b\right )^n$
$=(1\cdot 10^{-1}\cdot 2\cdot 10)^3$
Use the law of exponents $=a^n\cdot a^m=a^{n+m}$
$=(1\cdot 2\cdot 10^{-1+1})^3$
Simplify.
$=(2)^3$
Use $2^3 =8$.
$=8$.
