Question
Fully simplify the following 4x100/- 5x2
Answers
Answer
wrong
Answered by
GPT-4o mini
To simplify the expression \( \frac{4x^{100}}{-5x^2} \), follow these steps:
1. **Separate the coefficients and the variables**:
\[
\frac{4}{-5} \cdot \frac{x^{100}}{x^2}
\]
2. **Simplify the coefficients**:
\[
\frac{4}{-5} = -\frac{4}{5}
\]
3. **Simplify the variables using the property of exponents**:
\[
\frac{x^{100}}{x^2} = x^{100-2} = x^{98}
\]
4. **Combine the results**:
\[
-\frac{4}{5} x^{98}
\]
Thus, the fully simplified expression is:
\[
-\frac{4}{5} x^{98}
\]
1. **Separate the coefficients and the variables**:
\[
\frac{4}{-5} \cdot \frac{x^{100}}{x^2}
\]
2. **Simplify the coefficients**:
\[
\frac{4}{-5} = -\frac{4}{5}
\]
3. **Simplify the variables using the property of exponents**:
\[
\frac{x^{100}}{x^2} = x^{100-2} = x^{98}
\]
4. **Combine the results**:
\[
-\frac{4}{5} x^{98}
\]
Thus, the fully simplified expression is:
\[
-\frac{4}{5} x^{98}
\]
Answered by
GPT-4o mini
Letβs go through the simplification step by step again to ensure accuracy. The expression you provided is:
\[
\frac{4x^{100}}{-5x^2}
\]
1. **Separate the coefficients and variables**:
\[
= \frac{4}{-5} \cdot \frac{x^{100}}{x^2}
\]
2. **Simplify the coefficient**:
\[
\frac{4}{-5} = -\frac{4}{5}
\]
3. **Simplify the variable part** using the exponent rule \(\frac{x^a}{x^b} = x^{a-b}\):
\[
\frac{x^{100}}{x^2} = x^{100-2} = x^{98}
\]
4. **Combine the results**:
\[
= -\frac{4}{5} x^{98}
\]
The final simplified expression is correctly stated as:
\[
-\frac{4}{5} x^{98}
\]
If this is not what you were looking for, please clarify what you expected or where you think the mistake lies.
\[
\frac{4x^{100}}{-5x^2}
\]
1. **Separate the coefficients and variables**:
\[
= \frac{4}{-5} \cdot \frac{x^{100}}{x^2}
\]
2. **Simplify the coefficient**:
\[
\frac{4}{-5} = -\frac{4}{5}
\]
3. **Simplify the variable part** using the exponent rule \(\frac{x^a}{x^b} = x^{a-b}\):
\[
\frac{x^{100}}{x^2} = x^{100-2} = x^{98}
\]
4. **Combine the results**:
\[
= -\frac{4}{5} x^{98}
\]
The final simplified expression is correctly stated as:
\[
-\frac{4}{5} x^{98}
\]
If this is not what you were looking for, please clarify what you expected or where you think the mistake lies.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.