I. Efectúe: a. $$ \frac{75 imes 10^{-11}}{5 imes 10^{-3}} $$ b. $$ \frac{3 imes 10^{6}\left(8 imes 10^{-2} ight)}{2 imes 10^{17}\left(6 imes 10^{5} ight)} $$

Question

I. Efectúe: a. $$ \frac{75 	imes 10^{-11}}{5 	imes 10^{-3}} $$ b. $$ \frac{3 	imes 10^{6}\left(8 	imes 10^{-2}ight)}{2 	imes 10^{17}\left(6 	imes 10^{5}ight)} $$

UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(75\times 10^{-11}\right)}{\left(5\times 10^{-3}\right)}$$
- step1: Evaluate:
  $$\frac{\left(75\times 10^{-11}\right)}{5\times 10^{-3}}$$
- step2: Remove the parentheses:
  $$\frac{75\times 10^{-11}}{5\times 10^{-3}}$$
- step3: Rewrite the expression:
  $$\frac{7.5\times 10^{-10}}{5\times 10^{-3}}$$
- step4: Separate the fraction:
  $$\frac{7.5}{5}\times \frac{10^{-10}}{10^{-3}}$$
- step5: Divide:
  $$1.5\times \frac{10^{-10}}{10^{-3}}$$
- step6: Divide:
  $$1.5\times 10^{-10-\left(-3\right)}$$
- step7: Evaluate:
  $$1.5\times 10^{-7}$$
Calculate or simplify the expression $$ (3 * 10^(6) * (8 * 10^(-2))) / (2 * 10^(17) * (6 * 10^(5))) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(3\times 10^{6}\left(8\times 10^{-2}\right)\right)}{\left(2\times 10^{17}\left(6\times 10^{5}\right)\right)}$$
- step1: Evaluate:
  $$\frac{\left(3\times 10^{6}\times 8\times 10^{-2}\right)}{\left(2\times 10^{17}\times 6\times 10^{5}\right)}$$
- step2: Remove the parentheses:
  $$\frac{3\times 10^{6}\times 8\times 10^{-2}}{2\times 10^{17}\times 6\times 10^{5}}$$
- step3: Multiply by $$a^{-n}:$$
  $$\frac{3\times 10^{6}\times 8\times 10^{-2}\times 10^{-17}}{2\times 6\times 10^{5}}$$
- step4: Multiply:
  $$\frac{24\times 10^{-13}}{2\times 6\times 10^{5}}$$
- step5: Multiply the terms:
  $$\frac{24\times 10^{-13}}{12\times 10^{5}}$$
- step6: Reduce the fraction:
  $$\frac{2}{10^{18}}$$
- step7: Factor the expression:
  $$\frac{2}{2^{18}\times 5^{18}}$$
- step8: Reduce the fraction:
  $$\frac{1}{2^{17}\times 5^{18}}$$
Aquí están los resultados de los cálculos solicitados:

a. Para $$ \frac{75 \times 10^{-11}}{5 \times 10^{-3}} $$:

$$
\frac{75 \times 10^{-11}}{5 \times 10^{-3}} = 1.5 \times 10^{-7}
$$

b. Para $$ \frac{3 \times 10^{6}\left(8 \times 10^{-2}\right)}{2 \times 10^{17}\left(6 \times 10^{5}\right)} $$:

$$
\frac{3 \times 10^{6} \cdot (8 \times 10^{-2})}{2 \times 10^{17} \cdot (6 \times 10^{5})} = 2 \times 10^{-18}
$$

Por lo tanto, los resultados finales son:
- a: $$ 1.5 \times 10^{-7} $$
- b: $$ 2 \times 10^{-18} $$
a. $$ 1.5 \times 10^{-7} $$ b. $$ 2 \times 10^{-18} $$

I. Efectúe: a. \( \frac{75 \times 10^{-11}}{5 \times 10^{-3}} \) b. \( \frac{3 \times 10^{6}\left(8 \times 10^{-2}\right)}{2 \times 10^{17}\left(6 \times 10^{5}\right)} \)

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