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.
(-8x^9)^2
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