Question

Fully simplify the following 4x100/- 5x2

Answer 1

wrong

Answer 2

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:
\[
-\frac{4}{5} x^{98}
\]

Answer 3

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.