What is the quotient property of exponents?

Mathematics

2 answers:

STALIN [3.7K]4 years ago

6 0

Answer:

when you divide powers with the same base, you can just subtract the exponents

Shalnov [3]4 years ago

5 0

Quotient of powers
states that when dividing two powers with the same base, we would subtract exponents

a^m • a^n = a^m+n
(a^m)^n=a^m^n

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The least natural number that is divisible by three different primes is

pickupchik [31]

Natural number is any positive whole number. In order to solve this question there are two possible ways:

1) We start by writting down natural numbers one by one. Then we check for it's divisors that are prime numbers. We continue doing this until we find the solution. This approach could take quite some time to complete but it will eventually give the correct answer.

2) We need to find natural number that is divisible by three primes. And it needs to be smallest possible. This means that the product of these numbers is our solution.
We can not take any three random primes as they will not give us the requested solution. 7* 11 * 31 = 2387
We need to take three lowest primes. Those are 2, 3 and 5. 1 is not considered to be a prime.
2 * 3 * 5 = 30
So our solution is 30. All lower numbers do not have three primes as divisors.

6 0

3 years ago

An urn contains 13 red balls and 7 blue balls. Suppose that three balls are taken from the urn, one at a time and without replac

d1i1m1o1n [39]

Answer:

0.749

Step-by-step explanation:

The probability that at least one of the three taken balls is blue is the inverse of the probability that none of the three taken balls is blue, aka all 3 of the taken balls are red. The probability of this to happen is

In the first pick: 13/20 chance of this happens

In the 2nd pick: 12/19 chance of this happens

In the 3rd pick: 11/18 chance of this happens

So the probability of picking up all 3 red balls is

$\frac{13*12*11}{20*19*18} = \frac{1716}{6840} = 0.251$