What do you get when you divide 2x^3 × 2^2 × 8 by x^2?

To solve the expression 2x³ × 2² × 8 divided by x², we can break it down into manageable steps.

First, let’s simplify the numerator:

• 2x³: This term represents 2 multiplied by x cubed.
• 2²: This is 2 squared, which equals 4.
• 8: This is simply 8.

Now, we can combine these parts:

• The product is: 2 × 4 × 8.
• Calculating this gives us: 2 × 4 = 8 and 8 × 8 = 64.

So, the simplified numerator becomes 64x³.

Next, we take our full expression and replace the numerator:

This leads us to: 64x³ / x².

Now let’s divide:

• When dividing powers of x, we subtract the exponents. Thus:
• x³ / x² = x^3-2 = x¹ = x.

Putting this all together, we get:

64x.

Therefore, the result of dividing 2x³ × 2² × 8 by x² is 64x.