High School

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------------------------------------------------ Let [tex]x=5[/tex] and complete the table for the function [tex]y=x^5[/tex].

A. 5, 25, 125, 625
B. 25, 125, 625, 3125
C. 1, 5, 25, 125
D. 125, 625, 3125, 15625

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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