answersLogoWhite

0


Best Answer

The GCF is 3n3

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the GCF of 6n to the third power and 9n to the third power?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Movies & Television

The gcf of the expressions 3n plus 7 and 9n is 3n?

No. 3n isn't a factor of 3n + 7. The GCF of 3n + 7 and 9n is 1.


Is 3n the gcf of 3n 7 and 9n?

No. 3n is not a factor of 3n + 7.


Is 3n the gcf of 3n plus 7 and 9n?

No. 3n is not a factor of 3n + 7.


How do you factor 2n2 9n-81?

6n² - 18n - 18 = 6, so 6n² - 18n - 24 = 0.Dividing by 6:n² - 3n - 4 = 0.What multiplies to -4 and adds to -3? The only possible factors are:(-1)4(-2)2(-4)1...with sums of 3, 0, and -3, respectively. We want that last one, son² - 3n - 4 = (n - 4)(n + 1).


Is 87 an Irrational or Rational Number...Explain?

Yes, here's the proof.Let's start out with the basic inequality 81 < 87 < 100.Now, we'll take the square root of this inequality:9 < &radic;87 < 10.If you subtract all numbers by 9, you get:0 < &radic;87 - 9 < 1.If &radic;87 is rational, then it can be expressed as a fraction of two integers, m/n. This next part is the only remotely tricky part of this proof, so pay attention. We're going to assume that m/n is in its most reduced form; i.e., that the value for n is the smallest it can be and still be able to represent &radic;87. Therefore, &radic;87n must be an integer, and n must be the smallest multiple of &radic;87 to make this true. If you don't understand this part, read it again, because this is the heart of the proof.Now, we're going to multiply &radic;87n by (&radic;87 - 9). This gives 87n - 9&radic;87n. Well, 87n is an integer, and, as we explained above, &radic;87n is also an integer, so 9&radic;87n is an integer too; therefore, 87n - 9&radic;87n is an integer as well. We're going to rearrange this expression to (&radic;87n - 9n)&radic;87 and then set the term (&radic;87n - 9n) equal to p, for simplicity. This gives us the expression &radic;87p, which is equal to 87n - 9&radic;87n, and is an integer.Remember, from above, that 0 < &radic;87 - 9 < 1.If we multiply this inequality by n, we get 0 < &radic;87n - 9n < n, or, from what we defined above, 0 < p < n. This means that p < n and thus &radic;87p < &radic;87n. We've already determined that both &radic;87p and &radic;87n are integers, but recall that we said n was the smallest multiple of &radic;87 to yield an integer value. Thus, &radic;87p < &radic;87n is a contradiction; therefore &radic;87 can't be rational and so must be irrational.Q.E.D.The question asks if 87 is rational, not &radic;87. 87 is rational because it can be expressed as the ratio of two integers i.e. 87 = 87/1.