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

Answer:

a). $4.86\times 10^{-15}$ m

b). $4.21\times 10^{-2}$ m³

c). $7.00\times 10^{3}$ N²

Step-by-step explanation:

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

a). $4.86(10^{-6})^{2}$ mm

= $4.86\times (10^{-12})\times (10^{-3} )$ m

= $4.86\times 10^{-15}$ m

b). (348 mm)³

= $(348)^{3}\times (10^{-3})^{3}$ m³

= $42144192\times 10^{-9}$ m³

= $4.21\times 10^{-2}$ m³

c). $(83700)^{2}\times (10^{-3})^{2}$ N²

= $700569\times 10^{4}\times 10^{-6}$ N²

= $7.00\times 10^{9}\times 10^{-6}N^{2}$

= $7.00\times 10^{3}$ N²