Question

calculate each of the following by using scientific notation and product rule. write the answer in scientific notation. 2.3 x 10^4 times 4.2 x 10^6

Answer 1

remember the associative and commutative properties of multiplcation
ab=ba and (ab)c=a(bc)

also, the exponential rules

`(x^m)(x^n)=x^(m+n)`

also, scientific notation is
`a*10^m` where 1≤x<10 and m is an integer


therefor


`(2.3*10^4) \space\ times \space\ (4.2*10^6)=`

`(2.3)(10^4)(4.2)(10^6)=`

`(2.3)(4.2)(10^4)(10^6)=`

`(9.66)(10^(4+6))=`

`9.66*10^(10)`