Question
Rewrite the expression in the form \( a x^{b} \) where \( a \) and \( b \) are numbers. Note that the variable, which does not have to be \( \boldsymbol{x} \), should not be in a denominator and \( a \) is in front of the variable. \( \frac{7}{2 x^{5}} \)
Ask by Daniels Colon. in the United States
Mar 18,2025
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Tutor-Verified Answer
Answer
The expression can be rewritten as \( \frac{7}{2} x^{-5} \).
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Beyond the Answer
To rewrite the expression \( \frac{7}{2 x^{5}} \) in the form \( a x^{b} \), you can start by manipulating it. First, recognize that dividing by \( x^5 \) is equivalent to multiplying by \( x^{-5} \). Thus, we can rewrite it as: \[ \frac{7}{2} \cdot x^{-5}. \] Now in this case, \( a = \frac{7}{2} \) and \( b = -5 \). Therefore, the final expression is: \[ \frac{7}{2} x^{-5}. \]