Final answer:
The expression -4⁴ x 4 yields -1024 when evaluated, as -4 raised to the fourth power is 256, and multiplying that by 4 gives 1024; the negative sign indicates the result is negative.
Without further information, -1024 does not match any of the given options and the term x⁷ cannot be evaluated.
Step-by-step explanation:
The question asks about the value of an expression that involves negative and positive exponents and multiplication. Specifically, the expression is -4⁴ x 4 - x⁷. To solve this, we first need to evaluate each part of the expression.
For -4⁴, the negative sign applies only to the base, not the exponent, so we have (-4) * (-4) * (-4) * (-4) = 256. Then we multiply 256 by 4 to get 1024. However, the negative sign in front of the 4 to the fourth power means we have to take the negative of this result, giving us -1024.
For x⁷, without additional information about the value of x, we cannot evaluate this term. Assuming the expression to be simplified is actually -4⁴ x 4, then the answer is simply -1024, which corresponds to none of the options given. However, if x is intended to be a variable and there's a term x⁷ missing its operation or coefficient, the expression cannot be simplified further without that information.