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:

$$-\frac{4}{5}{x}^{98}$$

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