Question

Which expression is equivalent to

10x ¹2 −5x² +? Assume x≠0.70:
A. −50x⁸ +18
B. −2x⁸+18
C. Both a and b
D. None of the above

Answer 1

The correct equivalent expression for 10x ¹² − 5x² is − 50 after simplifying, so the answer is D. None of the above.

Step-by-step explanation:

The student has asked which expression is equivalent to 10x ¹² − 5x². To determine the equivalent expression, we should first simplify the given expression by applying the rule of negative exponents.

According to the rule, a negative exponent indicates that the base should be reciprocated and the exponent made positive.

Thus, 10x ¹² is the same as 10/x². Multiplying this by − 5x² results in − (50/x²) × x², which simplifies to − 50. None of the options provided includes this simplification, so the correct answer is D. None of the above.