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Which shows the correct simplification of product of powers?
1.) 78 · 7-4 = 78· (–4) = 7–32
2.)78 · 7–4 = 78 ÷ (–4) = 7–2
3.)78 · 7–4 = 78 + (–4) = 74
4.)78 · 7–4 = 78 - (–4) = 712

Respuesta :

Edufirst
The power symbols are missing.

I can infere that the product intended to simplify is (7^8) * (7^-4)., because that permits you to use the rule of the product of powers with the same base.

That rule is that the product of two powers with the same base is the base raised to the sum of the powers is:

(A^m) * (A^n) = A^ (m+n)

=>(7^8) * (7^-4) =  7^ [8 + (- 4) ] = 7^ [8 - 4] = 7^4, which is the option 3 if the powers are placed correctly.
jayilych4real

The answer choice which shows the correct simplification of product of powers is:

  • 78 · 7–4 = 78 + (–4) = 74

What is Product of Powers?

This refers to the mathematical property which states that when there is a multiplication of two powers that have the same base, then there would be the addition of exponents.

From the given choices, we can see that the powers are not given, so we can solve using inference.

This posits that  (7^8) * (7^-4) was the product that was intended to be simplified and this law shows:

  • (A^m) * (A^n) = A^ (m+n)

Hence, if we add the powers, then the correct answer would be option C because they are of the same base.

Read more about product of powers here:

https://brainly.com/question/19517443

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