How do you multiply #(3.00xx10^(17))xx(6.63xx10^(-34))#?

1 Answer
May 11, 2018

Answer:

#(3.00xx10^17)xx(6.63xx10^(-34))=color(blue)(1.99xx10^(-16)#

Refer to the explanation for the process.

Explanation:

Given:

#(3.00xx10^17)xx(6.63xx10^(-34))#

Multiply the coefficients.

#3.00xx6.63xx10^17xx10^(-34)#

Simplify #3.00xx6.63# to #19.9#. #larr# three significant figures

#19.9xx10^17xx10^(-34)#

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

#19.9xx10^(17+(-34))#

Simplify.

#19.9xx10^(-17)#

To convert the answer to scientific notation, move the decimal to the left one place and add #1# to the exponent.

#19.9xx10^(-17)=1.99xx10^(-16)#