How do you multiply two scientific notation values?Explain the steps you would take to find the product of6.7 x 106 and 3.2 10 written in scientific notation.

Answer:case 1) [tex]2.144*10^{12}[/tex]case 2) [tex]2.144*10^{8}[/tex]Step-by-step explanation:case 1) If we have[tex]6.7*10^{6}[/tex] and [tex]3.2*10^{5}[/tex]step 1Calculate the product of the coefficients and powers separately[tex]6.7*3.2=21.44[/tex][tex]10^{6}*10^{5}[/tex] -----> Apply the product of powers rule to add the exponents[tex]10^{6}*10^{5}=10^{6+5}=10^{11}[/tex]step 2we have[tex]21.44*10^{11}[/tex]The product is not in scientific notation because the coefficient is greater than 10step 3Change the coefficient by moving the decimal one place to the left and increasing the exponent by one[tex]2.144*10^{12}[/tex]case 2) If we have[tex]6.7*10^{6}[/tex] and [tex]3.2*10^{1}[/tex]step 1Calculate the product of the coefficients and powers separately[tex]6.7*3.2=21.44[/tex][tex]10^{6}*10^{1}[/tex] -----> Apply the product of powers rule to add the exponents[tex]10^{6}*10^{1}=10^{6+1}=10^{7}[/tex]step 2we have[tex]21.44*10^{7}[/tex]The product is not in scientific notation because the coefficient is greater than 10step 3Change the coefficient by moving the decimal one place to the left and increasing the exponent by one[tex]2.144*10^{8}[/tex]