Answer | Explanation:
To determine the equivalent expressions for 8x^10/2x^7, we can simplify the expression by dividing the coefficients and subtracting the exponents.
Here's the step-by-step process:
1. Divide the coefficients: 8 ÷ 2 = 4.
2. Subtract the exponents of x: 10 - 7 = 3.
Therefore, the equivalent expression for 8x^10/2x^7 is 4x^3.
Out of the given options:
- 2^2x^3 is not equivalent to 8x^10/2x^7.
- 4x^3 is equivalent to 8x^10/2x^7.
- 6x^17 is not equivalent to 8x^10/2x^7.
- 6x^3 is not equivalent to 8x^10/2x^7.
So, the only equivalent expression is 4x^3.