There's always e i x pi = -1 if we're allowed imaginary numbers.
Ask me for the value of any number, rational or not, raised to the power zero and I'll give you the answer instantly...
A number raised to the second power is a number times itself. This can also be stated as a number squared.
The power could then be called an exponent. The number that is being raised to a power is called the base. In the case of 42, the exponent is 2 and the base is 4.
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.
these numbers are call like terms
Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power
No.
Rational!!!! Casually, any decimal that can be converted to a fraction/ratio is Rational. 1.1 = 1 1/10 = 11/10 Irrational numbers are those that cannot be converted to a fraction/ration. The most well known IRRATIONAL number is 'pi = 3.141592....' Irrational numbers are those were the decimals go to infinity AND the decimal digits are not in any regular order. Rational ; 1/3 = 0.3333.... Irrational ; sqrt(2) = 1.414213562....
yes
Yes (when the power is a positive integer). It is possible to have powers that are negative, rational, irrational and even complex and there are similar rules for dealing with them.
When a number is raised to the power of 1, the result is always the number itself. Therefore, 1 raised to the power of 10 is equal to 1. This is because any number raised to the power of 1 is simply the number itself, without any change.
Yes.
Yes.
Not necessarily. The value of 3 (rational) raised to the power 1/2 (rational) is not rational.
In the number x, with positive integer exponent a, a is the number of times that 1 (not the number itself) is multiplied by x. So, for example in the expression, 43 the exponent is 3 and the number represented is "1 is multiplied by 4 three times". If you multiply 4 by itself 3 times, you will get 4*4 (one time) * 4 (two times) *4 (three times) and that is NOT 43: it is just a wrong description.The laws of exponents are:xa * xb = xa+bxa / xb = xa-b(xa)b = xa*b(xy)a = xa * yaThe first three are used to extend the domain of exponents to negative integers and rational numbers. Exponents to irrational numbers are defined as limits of the exponents of the rational sequences converging to the irrational number.Finally, 00 is not defined (because it does not converge).
No, "eleventeen" is not a real number in the traditional sense of the term. In mathematics, real numbers are a set of numbers that include all rational and irrational numbers, but "eleventeen" is not a standard number in this system. It appears to be a combination of the numbers eleven and seventeen, which are real numbers, but the combination itself is not recognized as a valid number in mathematics.
The raised number, or exponent, is the number of times the base is used as a factor.