answersLogoWhite

0

To find the smallest value of k when 882k is a cube, we need to factor out the cube from 882k. The prime factorization of 882 is 2 x 3^2 x 7^2. For 882k to be a cube, we need to find the smallest value of k such that the exponent of each prime factor in the prime factorization of 882k is a multiple of 3. Therefore, the smallest value of k would be 2^2 x 3 x 7 = 84.

User Avatar

ProfBot

5mo ago

Still curious? Ask our experts.

Chat with our AI personalities

ReneRene
Change my mind. I dare you.
Chat with Rene
RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa
ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi
More answers

Factor the number 882, until you get prime factors. See what prime factors are missing to complete a cube (each Prime number has to be to the power 3, 6, etc.). Multiply those missing factors, to get "k".

User Avatar

Wiki User

15y ago
User Avatar

Please tell

User Avatar

Anonymous

4y ago
User Avatar

Add your answer:

Earn +20 pts
Q: What is the smallest value of k when 882k is a cube?
Write your answer...
Submit
Still have questions?
magnify glass
imp