Pregunta
(c) \( 0.007034=7.034 \times 10^{\mathrm{c}} \) \( \mathrm{c}=\square \)
Ask by Griffin Henry. in the United States
Mar 17,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( c = -3 \)
Solución
We start with the equation
\[
0.007034 = 7.034 \times 10^{c}.
\]
Divide both sides by \(7.034\) to isolate the power of ten:
\[
\frac{0.007034}{7.034} = 10^{c}.
\]
Calculate the left side:
\[
\frac{0.007034}{7.034} = 0.001.
\]
So, we have
\[
10^{c} = 0.001.
\]
Recall that
\[
0.001 = 10^{-3}.
\]
Thus, we equate the exponents:
\[
c = -3.
\]
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Simplifique esta solución Mind Expander
To express \(0.007034\) in scientific notation, you can move the decimal point three places to the right. This means you're multiplying by \(10^{-3}\) to adjust for that shift. Thus, \(c = -3\). If you want to double-check your scientific notation, remember that the number should always be between 1 and 10. Since \(7.034\) fits that criteria, you're good to go! Just a friendly reminder: scientific notation is a handy way to handle very small or very large numbers without all the extra zeros!
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