(2 x³×7x⁸)²

To simplify the expression (2x³ × 7x⁸)², you need to apply the exponent rule for multiplying powers with the same base.

First, let's multiply the coefficients together: 2² = 4.

Next, we multiply the variables together by adding the exponents: (x³)² = x^(3×2) = x⁶ and (x⁸)² = x^(8×2) = x¹⁶.

Putting it all together, we have: (2x³ × 7x⁸)² = (4 × x⁶ × x¹⁶).

We can simplify further by adding the exponents: x⁶ × x¹⁶ = x^(6+16) = x²².

Therefore, (2x³ × 7x⁸)² simplifies to 4x²².