If x ≠ 0, then x²/2x⁵ × 1000 is equivalent to

Answer:

Not telling you the answer that just the steps, that would be cheating.

Step-by-step explanation:

1. Mulitply 1000 by the fraction.

2. Simplify it(the numbers 1000 and 2 to 500 and 1)

3. Then divide the exponents(you know this I taught you:)

4. You then will get your answer! (hint: it has a negative exponent :)

5. Please try not to use Brainly next time, try it yourself:) or I may take points off, ask me next time.

When x ≠ 0, the expression x²/2x⁵ × 1000 simplifies to 500/x³. This is obtained by simplifying the fraction and then multiplying by 1000.

To simplify the expression (x²/2x⁵) × 1000, we can start by simplifying the fraction within the parentheses.

First, let's deal with the fraction x²/2x⁵. We can simplify it by using the rule of exponents, which states that x^m/x^n = x^(m-n) when dividing with the same base. In this case, we have x²/2x⁵, so:

x²/2x⁵ = (x²)/(2x⁵) = (x²/x⁵) * (1/2) = x^(2-5) * (1/2) = x^(-3) * (1/2).

Now, we have the fraction x^(-3) * (1/2). To simplify this further, we can rewrite x^(-3) as 1/x^3. Therefore, the expression becomes:

(1/x^3) * (1/2) = 1/(2x³).

Now that we've simplified the fraction within the parentheses, we can multiply it by 1000:

(1/(2x³)) * 1000 = 1000/(2x³) = 500/x³.

So, the expression x²/2x⁵ × 1000 simplifies to 500/x³ when x ≠ 0.

Learn more about expression here:

brainly.com/question/30350742

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