Perhaps you learned in algebra class how to handle x5/x3 . That's x2 , right ?
In general, anytime you have
(a number)to power 'A' divided by (the same number)to power 'B'
the answer is just (the same number) to power (A - B)
OK ? No problem. That's pretty easy. Good!
Now look at (x)47 divided by (x)47 . What's that ? It's (x)0 , right ? Absolutely.
But what do you have when you divide any number by itself ? You have ' 1 ' .
So (x)0 , or (any number)0 , = ' 1 '.
If a number other than 2 ends in a even number, it will always be composite.
Yes, a prime number is always greater than 1.
No, not always since: if a number is more than 1, then its square root is smaller than the number. if a number is less than 1, then its square root is bigger than the number.
No, a number raised to a negative exponent is less than 1. When a number is raised to a negative exponent, it is inverted and the exponent becomes positive. This means that the value of the number decreases as the exponent becomes more negative.
no
Yes, you can, but it starts getting complicated. You can, for example have a number raised to an exponent that is itself a number raised to an exponent, or you can have a number raised to an exponent and the result raised to another exponent.
If a number other than 2 ends in a even number, it will always be composite.
Short answer: 2 The only number by which a factor of 4 may always be divided (other than 4) is 2.
Yes, a prime number is always greater than 1.
To have exactly 9 factors, the number would either have to have a prime number raised to the 8th. power; this is not possible with two digits.The other option is to have a prime number raised to the second power, times another prime number raised to the second power. (The number of factors in this case is (2 + 1)(2 + 1).) This is only possible if you use the prime factors 2 and 3; any other combination of prime numbers will yield a number that has more than 2 digits.
No, not always since: if a number is more than 1, then its square root is smaller than the number. if a number is less than 1, then its square root is bigger than the number.
No, a number raised to a negative exponent is less than 1. When a number is raised to a negative exponent, it is inverted and the exponent becomes positive. This means that the value of the number decreases as the exponent becomes more negative.
no
It depends on whether the number you start with is greater than or less than 1.
The only such number is 0, and the answer in each case is 0.For a number other than zero, dividing it by any number will not always result in a whole number.
Not always, if the smaller number is 0 or a negative number. Then their sum will be equal or less than the greater number.
Yes. An even number will always have as it's factors, itself, 1, 2 and another number. So the minimum number of factors for an even number other than 2 is four.