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Answer :
Final answer:
Completing the table of function y=x⁵ with x=5 results in the sequence of y values: 5, 25, 125, 625, 3125. This matches option b) 25, 125, 625, 3125.
Explanation:
The student has asked to complete the table for the function y = x⁵ given that x=5. To do this correctly, we need to calculate the values of y for each successive integer power of x. Starting with 5⁵, and as we know that any number raised to the power of 1 is the number itself, our first value of y is 5. Then we calculate 5² (5 squared), which is 25, followed by 5³ (5 cubed), which is 125, and so on.
- 5⁵ = 5
- 5² = 25
- 5³ = 125
- 5&sup4; = 625
- 5&sup5; = 3125
Therefore, the sequence of y values for the powers of 5 shall be: 5, 25, 125, 625, and 3125, which corresponds to option b on the given list.
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