Pregunta
Express using negative exponents \( \frac{1}{x} \) \( \frac{1}{x}=\square \)
Ask by Hilton Thornton. in the United States
Feb 02,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\(\frac{1}{x} = x^{-1}\)
Solución
To express \(\frac{1}{x}\) using a negative exponent, you can rewrite it as:
\[
\frac{1}{x} = x^{-1}
\]
**Explanation:**
A negative exponent indicates the reciprocal of the base raised to the positive exponent. Specifically:
\[
x^{-n} = \frac{1}{x^n}
\]
In this case, \(n = 1\), so:
\[
\frac{1}{x} = x^{-1}
\]
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Mind Expander
\( \frac{1}{x} = x^{-1} \) With negative exponents, you can conveniently represent the reciprocal of a base without using fractions! It's a great way to simplify expressions, especially in algebra and calculus, allowing for easier manipulation during calculations. So next time you see \( \frac{1}{x} \), just think \( x^{-1} \) and unlock a whole new level of math magic!
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