Mathematics
25.01.2023 23:43
144
344
8
Solved by an expert

(-2)^p+7 * (-2)^p+8 = (-2)^9 please explain properly

(-2)^p+7 * (-2)^p+8 = (-2)^9

please explain properly
Show Answers
chakairarodney8407
chakairarodney8407
4,6(9 marks)

{( - 2)}^{p + 7}   \times {( - 2)}^{p + 8}  = {( - 2)}^{9}  \\  =   {( - 2)}^{p + 7 + p + 8}  = {( - 2)}^{9}  \\  =   {( - 2)}^{2p + 15}  = {( - 2)}^{9}  \\  =   2p + 15 = 9 \\  =   2p = 9 - 15 \\  =   2p =  - 6 \\  =   p =  \frac{ - 6}{2}   \\  =   p =  - 3

The answer is -3.
gchippewa81
gchippewa81
4,6(11 marks)
I believe it's C.

I've done this questions before a few months ago, and if I remember right, it was 2x+3...

Popular Questions about the subject: Mathematics

ᴵ ᶜᵒᵘˡᵈ ᵇᵉ ᵇˡᵒᶜᵏᵉᵈ ᶠᵒʳ ᵖᵒˢᵗⁱⁿᵍ ¹⁸ ᵖʰᵒᵗᵒˢ ᴾˡᵉᵃˢᵉ ʷʳⁱᵗᵉ ᵐᵉ you know waht to do ᵇʳᵃⁱⁿˡʸ.ᵗᵒᵈᵃʸ...
Mathematics
31.10.2020 20:51
Are these triangles congruent? If so, why?...
Mathematics
08.09.2022 16:59
Are these triangles congruent? If so, why?...
Mathematics
16.04.2020 08:53
Gabby rode her bike 6 miles in 40 minutes. Monica rode her bike 8 miles in 40 minutes....
Mathematics
03.09.2021 20:22
Are these triangles congruent? If so, why?...
Mathematics
25.12.2021 03:07
Follow me for points daily 25...
Mathematics
22.09.2022 07:50
Report all my questions...
Mathematics
05.06.2020 08:19
Can someone help me?...
Mathematics
13.07.2022 16:18
Find the value of x if x+1+1÷x=25÷4...
Mathematics
26.11.2022 11:45
If the sides of two squares be a and b meters respectively, what will be the ratio...
Mathematics
11.11.2020 09:49

New questions by subject

Apatient asks the nurse if it would be all right to take an over-the-counter antihistamine...
Health
08.02.2020 20:21
Lisa brought a tank for her hermit crab. the lank can hold 1,331 cubic inches of...
Mathematics
05.09.2020 12:47
Write a plot synopsis of the most dangerous game....
English
14.07.2020 22:14
What did william lloyd garrison hope to do with the liberator?...
History
02.01.2021 20:52
What is cytokinesis and how does it occur in plant cells and animal cells?...
Biology
25.09.2022 15:01
What is an attorney’s secondary attempt to exclude a juror?...
Business
01.04.2023 19:41
Use the formula below to find the 5th term in the geometric sequence. an=(2)(11/10)^n-1a)...
Mathematics
09.05.2020 01:53
What is greater than 4.74 and less than 4.75...
Mathematics
27.07.2021 10:02
Describe the key inputs used when developing a short-term investment policy...
Business
16.05.2020 03:37
Jake is traveling 15 mph in his boat. after 4 hours, how far will he have traveled?...
Mathematics
02.04.2023 21:53
#
#
#
#
# #

We expand our knowledge with many expert answers