Question
Fully simplify the following 4x100/- 5x2
Answers
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:
\[
-\frac{4}{5} x^{98}
\]
wrong
GPT-4o mini
Let’s 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.