How do you simplify and write #(2.34times10^-8)(5.7times10^-4)# in standard form?

1 Answer
Sep 26, 2017

Answer:

Scientific notation: #13.338xx10^(-12)#

Standard form: #0.00000000001338#

Refer to the explanation for the process.

Explanation:

#(2.34xx10^(-8))(5.7xx10^(-4))#

Remove the parentheses.

#2.34xx10^(-8)xx5.7xx10^(-4)#

Multiply the coefficients.

#13.338xx10^(-8)xx10^(-4)#

Apply product rule of exponents: #a^ma^n=a^(m+n)#.

#13.338xx10^((-8+(-4)))#

Simplify.

#13.338xx10^(-12)#

Standard Form: move the decimal to the left 12 places.

#0.00000000001338#