Question

Can someone help me solve this please 2.150 x 10 ^-12 dm / 5.02 x 10 ^-5dm^3

Answer 1

4.3 x 10⁻⁸dm⁻²

Explanation:

Problem:

                   $\frac{2.150 x 10^{-12} dm }{5.02 x 10 ^{-5} dm^{3} }$

 To solve this problem, we have apply the right rule of indices operation.

If we have an indices in the form;

 $\frac{a^{n} }{b^{k} }$ = ($\frac{a }{b }$ )$^{n-k}$

  Solving this problem:

   = $\frac{2.15}{5.02}$   x  10$^{-12 -(-5}$)

   = 0.43 x 10⁻⁷

   = 4.3  x 10⁻¹ x 10⁻⁷

   = 4.3 x 10⁻⁸

for the units:

 $\frac{dm}{dm^{3} } = \frac{dm}{ dm x dm x dm}$ = $\frac{1}{dm^{2} } = dm^{-2}$

  The solution is:  4.3 x 10⁻⁸dm⁻²

   

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