Mathematics, 02.07.2019 23:10 hdwoody2002

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

Answers: 1

Show answers

Answers

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.

Answer from: peaceouthjkdrb2398

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

78 · 7–4 = 78 + (–4) = 74What 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.

Another question on Mathematics

Mathematics, 21.06.2019 17:30

10 ! in a race, nick is 50 feet in front of jay after ten seconds. how fast can nick run, if jay can run 20 feet per second?

Answers: 1

Answer

Mathematics, 21.06.2019 19:00

[15 points, algebra 2]simplify the complex fraction and find the restrictions.

Answers: 1

Answer

Mathematics, 22.06.2019 00:00

Let u = {q, r, s, t, u, v, w, x, y, z} a = {q, s, u, w, y} b = {q, s, y, z} c = {v, w, x, y, z}. list the elements in the set.a ∩ (b ∪ c)a) {q, s, w, y}b) {q, y, z}c) {q, s, u, w, y, z}d) {q, r, w, y, z}

Answers: 1

Answer

Mathematics, 22.06.2019 00:30

Ineed the solution to this problem and the steps.

Answers: 1

Answer

You know the right answer?

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

Questions

Mathematics, 18.03.2020 23:53

Everly needs to order stock for her store and wants to order the items that have the greatest probability of having repeat customers. She has to decid...

Mathematics, 18.03.2020 23:53