Question

What is the product of 3.4 × 10−14 and 1.8 × 1028?

6.12 × 1014
9.4 × 1014
5.2 × 1042
6.12 × 1042

Answer 1

remember
(x^m)(x^n)=x^(m+n)
and commutaitve property

(3.4 times 10^-14) times (1.8 times 10^28)=
(3.4)(10^-14)(1.8)(10^28)=
(3.4)(1.8)(10^-14)(10^28)=
(6.12)(10^(-14+28))=
(6.12)(10^14)

answer is first option

Answer 2

`6.12*10^(14)`

Explanation:

we know that

`(a*10^(m))*(b*10^(n))=(a*b)*10^(m+n)`

In this problem we have

`a*10^(m)=3.4*10^(-14)`

`b*10^(n)=1.8*10^(28)`

therefore

`3.4*10^(-14) *1.8*10^(28)=(3.4*1.8)*10^(-14+28)=6.12*10^(14)`