Respuesta :

Answer:

For this expression:

             a=15  , b=7 and c=4

Step-by-step explanation:

We are asked to find the value of a,b and c by representing the given expression:

[tex]\sqrt[4]{15^7}[/tex] in the form of:  [tex]a^{\dfrac{b}{c}}[/tex]

where a is the base and b is the numerator of the exponent and c is the denominator of the exponent.

We know that the expression of the type:

[tex]\sqrt[n]{x}[/tex] is also written as:

[tex]x^{\dfrac{1}{n}}[/tex]

Hence, we get our expression as:

[tex]\sqrt[4]{15^7}=(15^7)^{\dfrac{1}{4}}\\ \\\\i.e.\\\\\\\sqrt[4]{15^7}=(15)^{\dfrac{7}{4}}[/tex]

         Hence, we have:

      a=15, b=7 and c=4

Answer:

For this expression:

            a=15  , b=7 and c=4

Step-by-step explanation:

Just had this on a test!

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