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11) $\frac{16.32\times10^{10}}{5.1\times10^{5}}$ 13) $\frac{1.925\times…

Question

  1. $\frac{16.32\times10^{10}}{5.1\times10^{5}}$ 13) $\frac{1.925\times10^{7}}{0.55\times10^{2}}$

Explanation:

Step1: Divide the coefficients

For $\frac{16.32\times 10^{10}}{5.1\times 10^{5}}$, divide the non - exponential parts: $\frac{16.32}{5.1}=3.2$.

Step2: Divide the powers of 10

Use the rule $\frac{a^{m}}{a^{n}}=a^{m - n}$, so $\frac{10^{10}}{10^{5}}=10^{10 - 5}=10^{5}$.

Step3: Combine the results

The result is $3.2\times10^{5}$.

For $\frac{1.925\times 10^{7}}{0.55\times 10^{2}}$:

Step1: Divide the coefficients

$\frac{1.925}{0.55}=3.5$.

Step2: Divide the powers of 10

$\frac{10^{7}}{10^{2}}=10^{7 - 2}=10^{5}$.

Step3: Combine the results

The result is $3.5\times10^{5}$.

Answer:

  1. $3.2\times10^{5}$
  2. $3.5\times10^{5}$