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A rational exponent means that you use a fraction as an exponent, for example, 10 to the power 1/3. These exponents are interpreted as follows, for example:10 to the power 1/3 = 3rd root of 1010 to the power 2/3 = (3rd root of 10) squared, or equivalently, 3rd root of (10 squared)
Rational exponents are exponents that are fractions or decimals. They are related to integer exponents because they represent a different way of expressing the same mathematical operation. For example, an integer exponent of 2 represents squaring a number, while a rational exponent of 1/2 represents taking the square root of a number.
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How are the laws of rational exponents similar to laws of integer exponents?
The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.
Is 0.25 a rational and integer?
It is rational and it is an integer.
Is every integer a rational number or is every rational number an integer?
Every integer is a rational number.
Is 100.02 a rational number or a integer?
Integers are rational. So is this, but it's not an integer.
How is a rational number that is not an integer different from a rational number that is an number?
A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.
How are the laws of rational exponents similar to laws of integer exponents?
The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.
What have you observed from the exponents?
That they can have any value: integer, rational, irrational or complex.
What is the difference between rational exponents and integer exponents?
"Integer" means whole numbers, such as 5, 3, or -2; "rational" means fractional numbers (with whole numbers for the numerator and denominator), such as 1/2, -2/3, etc. This also includes whole numbers.
Real life example of rational exponents?
A rational exponent is an exponent in the form of a fraction. Many financial formulas use rational exponents. Compound interest is formula that uses rational exponents.
Is 0.25 a rational and integer?
It is rational and it is an integer.
Is 14.1 a rational number or a integer?
It is a rational number, not an integer.
How is a rational number that is not an integer different from a rational number that is an integer?
A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.
Is every integer a rational number or is every rational number an integer?
Every integer is a rational number.
Is 0.25 a integer or rational number?
It is not an integer but is a rational number.
Is 100.02 a rational number or a integer?
Integers are rational. So is this, but it's not an integer.
How is a rational number that is not an integer different from a rational number that is an number?
A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.
Is -8.4 an integer or rational number?
A rational number.
