How do you write #(4.23 times 10^-5)/432# in scientific notation?

1 Answer
May 22, 2018

Answer:

#(4.23xx10^(-5))/432=color(blue)(9.79xx10^(-8)#

Explanation:

Simplify and write the answer in scientific notation:

#(4.23xx10^(-5))/432#

First convert #432# to scientific notation by moving the decimal to the left two places and multiplying by #10^2#.

#432=4.32xx10^2#

Rewrite the expression.

#(4.23xx10^(-5))/(4.32xx10^2)#

Divide the coefficients.

#4.23/4.32=0.979#

#(0.979xx10^(-5))/(10^2)#

Apply quotient rule: #a^m/a^n=a^(m-n)#

#0.979xx10^(-5-2)#

#0.979xx10^(-7)#

To convert the number to scientific notation, move the decimal to the right one place and decrease the exponent by #1#.

#9.79xx10^(-8)#