Respuesta :

Apined477427

Answer: It’s 81

Step-by-step explanation:

I think it’s 81 because u use the distributive property (xy)^a=x^a y^a

and in the situation you change it into 3^4(x^7)^4 and u simplify 3^4 and get 81 and then just multiply 7 and 4 and your answer is 81x^28. 81 is c in the equation

facundo3141592

We want to find an equivalent expression to  (3x^7)^4 of the form cx^n, and we want to find the value of c.

The equivalent expression is:

[tex]81*x^{28}[/tex]

So the value of c is:

c = 81.

First, we need to remember two properties of exponents.

The exponents are distributive under multiplications.

And we know that:

[tex](a^n)^m = a^{n*m}[/tex]

Using these two properties, we can rewrite:

[tex](3x^7)^4 = (3^4)*(x^{7*4}) = 81*x^{28}[/tex]

So the equivalent expression is:

[tex]81*x^{28}[/tex]

Then we have c = 81.

If you want to learn more, you can read:

https://brainly.com/question/21213498

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