Question

(5*10^31)(3*10^-4)

Answer 1

\(\bf a^{-{\color{red} n}} = \cfrac{1}{a^{\color{red} n}}
\\ \quad \\ \quad \\

(5\cdot 10^{31})(3\cdot 10^{-{\color{red}{ 4}}})\implies (5\cdot 10^{31})\left(3\cdot \cfrac{1}{10^{\color{red}{ 4}}}\right)\implies (5\cdot 10^{31})\left(\cfrac{3\cdot 1}{10^4}\right)
\\ \quad \\
\cfrac{(5\cdot 10^{31})\cdot 3\cdot 1}{10^4}\)

multiply and simplify