Fully simplify the following 4x100/- 5x2

Answer 1

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 2

wrong

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.