Pregunta
Divide. Write your answer in \( s \) \[ \frac{3.38 \times 10^{-22}}{6.5 \times 10^{-32}} \]
Ask by Rojas Ingram. in the United States
Mar 18,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The answer is \( 5.2 \times 10^9 \, s \).
Solución
We start with
\[
\frac{3.38 \times 10^{-22}}{6.5 \times 10^{-32}}.
\]
**Step 1. Divide the coefficients:**
\[
\frac{3.38}{6.5} = 0.52.
\]
**Step 2. Divide the powers of 10 (subtract the exponents):**
\[
10^{-22} \div 10^{-32} = 10^{-22 - (-32)} = 10^{10}.
\]
**Step 3. Combine the results:**
\[
0.52 \times 10^{10}.
\]
To express in standard scientific notation, we adjust so that the coefficient is between 1 and 10:
\[
0.52 \times 10^{10} = 5.2 \times 10^9.
\]
Thus, the answer is
\[
5.2 \times 10^9 \, s.
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
To divide the numbers in scientific notation, we divide the coefficients and subtract the exponents. First, divide the coefficients: \[ \frac{3.38}{6.5} \approx 0.520 \] Next, subtract the exponents: \[ -22 - (-32) = -22 + 32 = 10 \] Now, combine the results: \[ 0.520 \times 10^{10} \] To express this in proper scientific notation, we can write: \[ 5.20 \times 10^{9} \] So, the final answer is: \[ 5.20 \times 10^{9} \, s \]

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