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 .

Respuesta :

Answer:

a). [tex]4.86\times 10^{-15}[/tex] m

b). [tex]4.21\times 10^{-2}[/tex] m³

c). [tex]7.00\times 10^{3}[/tex] N²

Step-by-step explanation:

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

a). [tex]4.86(10^{-6})^{2}[/tex] mm

= [tex]4.86\times (10^{-12})\times (10^{-3} )[/tex] m

= [tex]4.86\times 10^{-15}[/tex] m

b). (348 mm)³

= [tex](348)^{3}\times (10^{-3})^{3}[/tex] m³

= [tex]42144192\times 10^{-9}[/tex] m³

= [tex]4.21\times 10^{-2}[/tex] m³

c). [tex](83700)^{2}\times (10^{-3})^{2}[/tex] N²

= [tex]700569\times 10^{4}\times 10^{-6}[/tex] N²

= [tex]7.00\times 10^{9}\times 10^{-6}N^{2}[/tex]

= [tex]7.00\times 10^{3}[/tex] N²