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

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

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:

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:

link

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".