Question
Think About the Process To simplify this expression, first find the base of the exponential term. Then simplify the expression. Assume that x is nonzero.
3 x Superscript negative 4
Question content area bottom
Part 1
The base of the exponential term is
enter your response here.
Part 2
3 x Superscript negative 4equals
enter your response here (Type exponential notation with positive exponents.)
3 x Superscript negative 4
Question content area bottom
Part 1
The base of the exponential term is
enter your response here.
Part 2
3 x Superscript negative 4equals
enter your response here (Type exponential notation with positive exponents.)
Answers
Answered by
GPT-4o mini
To simplify the expression \(3x^{-4}\), let's follow the steps outlined in the question.
### Part 1
**The base of the exponential term is:**
The base of the exponential term in this case is \(x\).
### Part 2
**Simplifying \(3x^{-4}\):**
To express \(3x^{-4}\) with positive exponents, we can apply the rule that \(x^{-n} = \frac{1}{x^n}\). Therefore, \(x^{-4}\) can be rewritten as \(\frac{1}{x^4}\).
Thus, the expression \(3x^{-4}\) can be rewritten as:
\[
3x^{-4} = \frac{3}{x^4}
\]
So the final answer in exponential notation with positive exponents is:
**\(3x^{-4} = \frac{3}{x^4}\)**.
### Part 1
**The base of the exponential term is:**
The base of the exponential term in this case is \(x\).
### Part 2
**Simplifying \(3x^{-4}\):**
To express \(3x^{-4}\) with positive exponents, we can apply the rule that \(x^{-n} = \frac{1}{x^n}\). Therefore, \(x^{-4}\) can be rewritten as \(\frac{1}{x^4}\).
Thus, the expression \(3x^{-4}\) can be rewritten as:
\[
3x^{-4} = \frac{3}{x^4}
\]
So the final answer in exponential notation with positive exponents is:
**\(3x^{-4} = \frac{3}{x^4}\)**.
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