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

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