Question

(-8x^9)^2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression (-8x^9)^2, we first need to apply the power of a power rule. This rule states that when you raise a power to a power, you need to multiply the exponents.

Applying this rule to the expression, we have: (-8x^9)^2 = -8^2 * (x^9)^2.

Next, we simplify the expression inside the parentheses: (x^9)^2 = x^(9*2) = x^18.

Finally, we simplify the expression outside the parentheses: -8^2 = (-8)^2 = 64.

Therefore, (-8x^9)^2 simplifies to 64x^18.