Final answer:
To find the value of f(13) by substituting 13 into each given option and calculating the resulting expression.
Step-by-step explanation:
The given options are:
- ( a) ( 45000 - 3000¹³ )
- ( b) ( 45000 - 3000² )
- ( c) ( 45000 - 13³⁰⁰⁰ )
- ( d) ( 13⁴⁵⁰⁰⁰ - 3000 )
To find the value of f(13), we need to substitute 13 into each option and calculate the resulting expression.
Let's substitute 13 into each option:
- a) ( 45000 - 3000¹³ ) = 45000 - 3000^13
- b) ( 45000 - 3000² ) = 45000 - 3000^2
- c) ( 45000 - 13³⁰⁰⁰ ) = 45000 - 13^3000
- d) ( 13⁴⁵⁰⁰⁰ - 3000 ) = 13^45000 - 3000
After calculating each expression, we can determine which option gives us the value of f(13).
Based on the given options, the correct expression for f(13) is ( 45000 - 13³⁰⁰⁰ ), which is option c.