Question

What is the product written in scientific notation?

(1.18×103)·(9.1×10−6)


1.0738×10−2

1.0738×10−4

10.738×10−3

10.738×10−2

Answer 1

$(1.18\cdot10^3)\cdot(9.1\cdot10^{-6})=(1.18\cdot9.1)(10^3\cdot10^{-6})\\\\=10.738\cdot10^{3+(-6)}=1.0738\cdot10\cdot10^{-3}\\\\=1.0738\cdot10^{1+(-3)}=1.0738\cdot10^{-2}\\\\Used:\\\\a^n\cdot a^m=a^{n+m}$