ayalajessenia192
contestada

Have you ever seen rational exponents? Rational exponents are designed to fit within the properties of exponents. That is, (31/2)2 is equal to 31, or 3. What operation does the power 1/2 represent? Can you think of operations that other fractional powers represent, such as 1/3, 1/4 and 2/3?

Respuesta :

DatGuy323

Rational exponents are quite simple really.  For instance, 2 to the power of 1/2 is the square root of two.  You take the numerator of the fraction and use that as the exponent and take the denominator and use it to root the number.  I know that sounds confusing, so I'll give a bunch of examples

2 to the power of 1/3

is the cube root of 2

2 to the power of 2/3

is the cube root of 2 to the power of 2, or the cube root of 4

2 to the power of 3/4

Is the 4th root of 2 to the power of 3, or the fourth root of 8

Hope it helps <3, if you have any questions just comment.

The required answer for the number of questions has been listed in the answer section.

Given that,
A number of questions are given

what is an exponential function?

The function which is in format f(x) = a^x   where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Part A
What operation does the power 1/2 represent?
The power 1/2 represents the square root of the value i.e. x^{1/2} = √x

Part B
What operations that other fractional powers represent, such as 1/3, 1/4, and 2/3?
Power 1/3 represents the cube root i.e. x^{1/3} = ∛x
Similarly
Power 1 / 4 represents the fourth root.
Power 2 / 3 represents cube root of square i.e. (x²)^{2 / 3} = ∛x²

Thus, the solution to the question is mentioned above.

Learn more about exponential function here:

brainly.com/question/15352175

#SPJ2


Otras preguntas