Respuesta :
The root of a number is the number which is when multiplied by itself a given number of times gives the result equals to the number which under the root. The product of the given number is d.
Given information-
The product given in the problem is,
[tex]\sqrt[3]{d} \times\sqrt[3]{d} \times\sqrt[3]{d}[/tex]
Root of a number
The root of a number is the number which is when multiplied by itself a given number of times gives the result equals to the number which under the root.
Let the result of above product is [tex]f(d)[/tex]. Thus,
[tex]f(d) =\sqrt[d]{3} \times\sqrt[d]{3} \times\sqrt[d]{3}[/tex]
The power of the root of number can be written as the fraction power of root with putting the number in the denominator.Thus,
[tex]f(d) =d^{\dfrac{1}{3}} \times d^\dfrac{1}{3} } \times d^\dfrac{1}{3}[/tex]
The power of the multiple numbers add up when the base is same. Thus,
[tex]f(d) =d^{(\dfrac{1}{3}+\dfrac{1}{3}+\dfrac{1}{3})}[/tex]
[tex]f(d) =d^{\dfrac{3}{3}[/tex]
[tex]f(d) =d[/tex]
Hence the product of the given number is d.
Learn more about the root of a number here;
https://brainly.com/question/2486085
