Pregunta
If \( x^{3}=\frac{1}{125} \), then \( 625 x^{3}=? \)
Ask by Pritchard Griffiths. in the United States
Dec 03,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( 625 x^3 = 5 \)
Solución
We start with the equation given in the problem:
\[
x^3 = \frac{1}{125}
\]
Next, we need to find the value of \( 625 x^3 \). We can substitute the value of \( x^3 \) into this expression:
\[
625 x^3 = 625 \cdot \frac{1}{125}
\]
Now, we can simplify \( 625 \cdot \frac{1}{125} \):
\[
625 \cdot \frac{1}{125} = \frac{625}{125}
\]
Next, we perform the division:
\[
\frac{625}{125} = 5
\]
Thus, we find that:
\[
625 x^3 = 5
\]
Therefore, the final answer is:
\[
\boxed{5}
\]
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Simplifique esta solución Mind Expander
To solve for \( 625x^{3} \) given that \( x^{3} = \frac{1}{125} \), we first substitute the value of \( x^{3} \) into the equation. So, we calculate: \[ 625 x^{3} = 625 \cdot \frac{1}{125} \] Now, simplifying \( 625 \cdot \frac{1}{125} \): \[ 625 \div 125 = 5 \] Thus, \( 625 x^{3} = 5 \). The answer is \( \boxed{5} \).
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