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PS · Problem Solving

555-605

Inequalities

Given that $0 < 5^n < 1,000,000$ , where n is a non-negative integer, what is the maximum value of $\frac{1}{3^n}$ ?

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A

1/3

1

Correct

C

3

D

9

E

27

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Since n is a non-negative integer, n can take values 0, 1, 2, 3, 4, 5. To maximize the fraction, we need…

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S

SuraiyaJul 11, 2024

thank you very much!

V

vstylatorMar 21, 2025

thanks for the answer

Given that $0 < 5^n < 1,000,000$ , where n is a non-negative integer, what is the maximum value of $\frac{1}{3^n}$ ?

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Given that 0<5n<1,000,0000 < 5^n < 1,000,0000<5n<1,000,000, where n is a non-negative integer, what is the maximum value of 13n\frac{1}{3^n}3n1​?

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Given that $0 < 5^n < 1,000,000$ , where n is a non-negative integer, what is the maximum value of $\frac{1}{3^n}$ ?