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

$(2.3*10^4) \space\ times \space\ (4.2*10^6)=$
$(2.3)(10^4)(4.2)(10^6)=$
$(2.3)(4.2)(10^4)(10^6)=$
$(9.66)(10^{4+6})=$
$9.66*10^{10}$