What is the quotient of x³ divided by 8x²?

To find the quotient of x³ divided by 8x², we need to simplify the expression. Here’s the step-by-step breakdown of the process:

1. Write the expression: We start with the expression x³ ÷ 8x².
2. Divide the coefficients: The coefficient of x³ is 1 (since it’s not explicitly written), and the coefficient of 8x² is 8. Therefore, we can divide 1 by 8:
3. 1 ÷ 8 = rac{1}{8}
4. Apply the properties of exponents: When dividing like bases, we subtract the exponents. Thus, for the x terms, we have:
5. x³ ÷ x² = x^{(3-2)} = x¹ = x

Now, we can put it all together:

The simplified result of the expression x³ ÷ 8x² is:

Quotient: rac{x}{8}

This means that when you divide x³ by 8x², you get rac{x}{8}.