Multiply (2.0 ⋅ 10−4) ⋅ (3.1 ⋅ 10−20). Express the answer in scientific notation. 6.2 ⋅ 10−80 6.2 ⋅ 10−24 6.2 ⋅ 1024 6.2 ⋅ 1080
scientifice notation is
(number less than 10 but greater than or equal to 1) times (10^x)
remember
(ab)(cd)=abcd=(ac)(bd)
and
(x^m)(x^n)=x^(m+n)
so
(210^4)(3.110^20)=
(2)(10^4)(3.1)(10^20)=
(23.1)(10^410^20)
(10^4)(10^20)=10^(4+20)=10^(24)
(6.2)(10^24)
scientifie notiaotn is
6.2*10^24
2d option
(2,0 10⁻⁴) (3,1 10⁻²⁰) =
the order of multiplication factors not relevant
2,0 3,1 10⁻⁴ 10 ⁻²⁰ =
6,2 *10 ⁻⁴ ⁺⁽⁻²⁰⁾ = 6,2⁻²⁴