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Are there two irrational numbers where one is raised to the power of the other and the answer is a rational number?
Wiki User
∙ 16y ago
There's always e i x pi = -1 if we're allowed imaginary numbers.
Wiki User
∙ 16y ago
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Ask me to divide any number by 1 and I'll give you the quotient?
Ask me for the value of any number, rational or not, raised to the power zero and I'll give you the answer instantly...
How do you write 1 billion to the power of ten?
1,000,000,000 = 1 x 109 The rules of writing a number in this scientific notation are : M x 10N , where M is a rational decimal number between 0 and 10 and N is the Power of Ten it is raised to.
What is a number raised to the second power?
A number raised to the second power is a number times itself. This can also be stated as a number squared.
When a number is raised to a power what is it called?
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.
What is the largest two digit number to the exactly 9 factors?
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.
How do you turn an irrational number in to a rational number?
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
Does irrational number raised to irrational number be rational number?
No.
Is 1.1 rational or irrational?
1.1 is the ratio of 11 to 10. It's rational. rational comes from the word ratio, so if the number can be expressed as a ratio of one whole number divided by another whole number than it is a rational number. 11/10 is a rational number. when trying to decide if a number is rational or irrational (like on a test), often its hard to know right away if the number could be expressed as a ratio of two whole numbers. so here is another clue. an irrational number can never be written out entirely. not only does the number go on forever, but it goes on forever with a sequence of numbers that never repeats. so if you can write the entire number (like 1.01, or 1.000000001) or if the number repeats, (like .33 or .1428) then it is rational. in fact, if the number is written with a decimal point than you know its rational. because they cannot be written out entirely, irrational numbers have to be expressed as a square root of another number, or one number raised to a fractional power (any power that is not a whole number) all the rules summed up 1) number is a fraction (ei 1/3, 4/7, 16/2) - rational 2) number is written out (ei 1,2,3.0, 9.09, 1.00003) - rational 3) number is not completely written out but repeats (ei .33 or .1428) - rational 4) number is a square root of a square number (square numbers are 1,4,9,16,25,36,49, etc)- rational 5) number is a square root of a non-square number (non square numbers are all numbers except 1,4,9,16,25,36,49, etc)- irrational 6) number is rational number taken to a power that is a whole number - rational 7) number is any number taken to a power that is not a whole number - irrational
Is an irrational number raised to an irrational power irrational?
yes
What is 1 to power of 10?
' 1 ' raised to any power = 1 .The power can be a whole number, a fraction, a decimal,positive, or negative, rational or irrational.
When a number is raised to a power this number is multipled by itself the number of times the power indicates?
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.
Is 3 raised to the second power a rational number?
Yes.
Is 5 raised to the second power a rational number?
Yes.
When evaluated using rational values for the variables will result in an a rational number?
Not necessarily. The value of 3 (rational) raised to the power 1/2 (rational) is not rational.
What is the definitions for exponents?
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).
What are raised numbers called?
The raised number, or exponent, is the number of times the base is used as a factor.
What irrational fraction is non terminating and non reapeating as a decimal other than pi?
For example:The number called "e", which is approximately 2.71828... (the base of the natural logarithm, and of the exponential function).The square root of any positive integer that isn't a perfect square (the square root of 2, 3, 5, 6, 7, 8, 10, etc.).The cubic root of any positive integer that isn't a perfect cube.Any irrational number multiplied by a rational number except zero, for example 2 x pi, (1/5) times the square root of 2, etc.A rational number raised to a rational power is USUALLY irrational, for example, 10 to the power 0.5 (which is the same as the square root of 10), 10 to the power 0.17, etc.
