## To help your friend simplify the expression (4x^4) / (2x^5), here are the step-by-step instructions:

1. Identify the numbers and variables in the expression: 4, 2, x^4, and x^5.

2. Start by dividing the coefficient 4 by the coefficient 2, which gives you 2 as the result.

3. Next, simplify the variable terms. Since both terms have the variable x, we need to subtract the exponents of the variable.

- The numerator has x^4, and the denominator has x^5. Subtracting the exponents, we get x^(4-5) = x^-1.

4. Now combine the results obtained in steps 2 and 3.

- The coefficient 2 remains as 2.

- The variable x with the exponent of -1 can be written as 1/x.

Putting it all together, we have 2 / (x^(-1)), which simplifies to 2/x.

Therefore, the simplified expression is 2/x.

Remember to double-check if the exponents or any other details in the problem are different, as this may require adjustment in the calculation steps.