Question

Factor the following polynomial completely:

5^24 + 20^3 / 10^522

A. 529 - 3)( + 7).
B. 522( - 3) ( +7).
C.523( + 3)(-7).
D,5r2(r 3).

Answer 1

To factor the polynomial 5^24 + 20^3 / 10^522, simplify the expression first by rewriting the exponents using the rules of exponents. Then divide the exponents by subtracting them to get the fully simplified polynomial. The fully simplified polynomial is 5^20 * 10^-502, or 10^-502 * 5^20.

Step-by-step explanation:

To factor the polynomial 5^24 + 20^3 / 10^522, we need to simplify the expression first. We can rewrite 5^24 as 5^(20+4), which is equal to (5^20) * (5^4). Similarly, 20^3 can be rewritten as (10^2)^3. Using the rules of exponents, we can simplify the expression to (5^20 * 10^6) / (10^522).

Now, we can divide the exponents by subtracting them: 20-522 = -502. Therefore, the fully simplified polynomial is 5^20 * 10^-502, or 10^-502 * 5^20.