Answer :
Unit conversion involves the conversion of a metric unit to another unit of the same quantity.
[tex]19.3 pm/ks^2[/tex] to megameter per squared nanoseconds is [tex]19.3 \times 10^{-41} Mn/ns^2[/tex]
Let:
[tex]x = 19.3 pm/ks^2[/tex]
Multiply by [tex]10^{-17[/tex] to convert megameter per squared kiloseconds
[tex]x = 19.3 \times 10^{-17} Mn/ks^2[/tex]
Divide by [tex]10^{24[/tex] to convert to megameter per squared nanoseconds
[tex]x = \frac{19.3 \times 10^{-17}}{10^{24}} Mn/ns^2[/tex]
Apply law of indices:
[tex]x = 19.3 \times 10^{-17-24} Mn/ns^2[/tex]
[tex]x = 19.3 \times 10^{-41} Mn/ns^2[/tex]
Hence:
[tex]19.3 pm/ks^2[/tex] to megameter per squared nanoseconds is [tex]19.3 \times 10^{-41} Mn/ns^2[/tex]
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