How do you simplify # (3 * 10^-2)(4 * 10^-3)#?

2 Answers
jk.13
Jun 2, 2018

#3/6250#

Explanation:

#(3times 1/10^2) (4times 1/10^3)#

#(3times1/100)(4times1/1000)#

#(3/100)(4/1000)#

#(3/100)(4/250)#

#12/25000#

#3/6250#

Shiva Prakash M V
Jun 2, 2018

#=12xx10^-5#

Explanation:

#(3.10^(-2))(4.10^-3)#
Removing the brackets,
#=3xx10^-2xx4xx10^-3#
Rearranging
#=3xx4xx10^-2xx10^-3#
#3xx4=12#
#10^-2=1/100#
#10^-3=1/1000#
Now,
#=12xx1/100xx1/1000#

#=12xx1xx1/(100xx1000)#
#12xx1/100000#
#1/100000=10^-5#

#=12xx10^-5#

Related questions
See all questions in Negative Exponents
Impact of this question
5062 views around the world
You can reuse this answer
Creative Commons License