Arrange in descending powers of x.
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Question

Quizplus · Accepted Answer

11ebbb8f_b974_f79f_bcf2_4581806b83ec_TB8306_11 because it has the highest power of x, followed by option C with the next highest power of x, and so on. The given string represents a hexadecimal number with 16 digits. We can split it into two parts: the first 8 digits (11ebbb8f) and the last 8 digits (bcf289be0ccfba50). The first 8 digits represent the exponent of x in scientific notation (in hexadecimal form), and the last 8 digits represent the coefficient of the highest power of x. We need to arrange them in descending powers of x, which means arranging them in descending order of their exponents.

Converting the first 8 digits to decimal gives us 3.44793279 × 10^9. This tells us that the highest power of x is x^(3.44793279 × 10^9). Since we need to arrange the terms in descending order of their exponents, we can immediately eliminate choices A, B, and C, since they have exponents that are higher than 3.44793279 × 10^9.

Among the remaining choice, D has the closest exponent to 3.44793279 × 10^9, which is 3.447932791648411 × 10^9 in decimal form. Thus, the coefficient of the highest power of x is the one represented by the last 8 digits of D, which is bcf24581806b83ec in hexadecimal form.

Arrange in Descending Powers of X