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)`