Question

Convert the following units as given
a. 1cm = _____nm
b. 1pm = _____mm
c. 1cm^2 = _____m^2
d. 3*10^4Km = ______fm​

Answer 1

Answer:

$\bold{a.} \: 1cm = {10}^{7} nm \\ \bold{b.} \: 1pm = {10}^{ - 9} mm \\ \bold{c.} \: 1 {cm}^{2} = {10}^{ - 4} {m}^{2} \\ \bold{d.} \: 3 \times {10}^{4} km = 3 \times {10}^{22} fm$

Step-by-step explanation:

$\bold{a. \: 1cm = ...........nm} \\ = > 1nm = {10}^{ - 9} m \\ = > 1cm \times \frac{nm}{nm} \\ = > 1 \times {10}^{ - 2} \cancel{m} \times \frac{nm}{ {10}^{ - 9} \cancel{m} } \\ = > {10}^{ - 2} \times {10}^{9} nm \\ = > \boxed{1cm = {10}^{7} nm}$

$\bold{b. \: 1pm = ............mm} \\ = > 1pm = pm \times \frac{mm}{mm} \\ = > {10}^{ - 12} \cancel{m} \times \frac{mm}{ {10}^{ - 3} \cancel{m} } \\ = > {10}^{ - 12} \times {10}^{3} mm \\ = > \boxed{1pm = {10}^{ - 9} mm}$

$\bold{c. \: 1 {cm}^{2} = ........ {m}^{2} } \\ = > 1m = 100cm \\ = > 1cm = \frac{1}{100} m \\ = > {( {10}^{ - 2} })^{ 2} \\ = > \boxed{1 {cm}^{2} = {10}^{ 4} \: {m}^{2} }$

$\bold{d . \: 3 \times {10}^{4} \: km = ........ fm} \\ = > 3 \times {10}^{4} \: km \times \frac{fm}{fm} \\ = > 3 \times {10}^{ 4} \times {10}^{ 3} \cancel{m} \times \frac{fm}{ {10}^{ - 15} \cancel{m} } \\ = > 3 \times {10}^{4} \times {10}^{3} \times {10}^{15} \\ = > \boxed{3 \times {10}^{4} \: km = 3 \times {10}^{22} \: fm }$

Answer 2

Step-by-step explanation:

..

$1cm = {10}^{7} nm \\ </p><p></p><p>1pm = {10}^{ - 9} mm \\ {1cm}^{2} = {10}^{4} {m}^{2} \\ 3 \times {10}^{4} km = 3 \times {10}^{22} fm$

Hope this will help u