Question

Evaluate each of the following to three significant figures, and express each answer in SI units using an appropriate prefix: (a) [4.86(10 6 )] 2 mm, (b) (348 mm) 3 , (c) (83 700 mN) 2 .

Answer 1

a).
`4.86* 10^(-15)` m

b).
`4.21* 10^(-2)` m³

c).
`7.00* 10^(3)` N²

Explanation:

In this question we have to convert each option into SI units.

a).
`4.86(10^(-6))^(2)` mm

=
`4.86* (10^(-12))* (10^(-3) )` m

=
`4.86* 10^(-15)` m

b). (348 mm)³

=
`(348)^(3)* (10^(-3))^(3)` m³

=
`42144192* 10^(-9)` m³

=
`4.21* 10^(-2)` m³

c).
`(83700)^(2)* (10^(-3))^(2)` N²

=
`700569* 10^(4)* 10^(-6)` N²

=
`7.00* 10^(9)* 10^(-6)N^(2)`

=
`7.00* 10^(3)` N²