(2 x³×7x⁸)²

To simplify the expression (2x³ × 7x⁸)², we need to use the rule of exponents, which states that when you raise a power to another power, you multiply the exponents.

First, let's simplify the expression inside the parentheses: 2x³ × 7x⁸.

When multiplying variables with exponents, you add the exponents, so we have (2 × 7) × (x³ × x⁸) = 14x¹¹.

Now, we can raise this expression to the power of 2: (14x¹¹)².

Using the rule of exponents, we multiply the exponents:

(14x¹¹)² = 14² × x¹¹² = 196x²².

Therefore, (2x³ × 7x⁸)² simplifies to 196x²².