Register
Simplify expression: 3^{−(4a+1)} −3^{−(4a−1)} + 3^{−4a}
15.7k views
1 vote
Simplify expression:
3^{−(4a+1)} −3^{−(4a−1)} + 3^{−4a}

User Bahramdun Adil
by
8.1k points

1 Answer

4 votes

3^(-(4a+1))-3^(-(4a-1)) + 3^(-4a) =3^(-4a-1 )-3^(- 4a+1 ) + 3^(-4a)=\\ \\=3^( -4a )*3^(-1)-3^( - 4a )*3^1 + 3^(-4a) =3^(-4a)(3^(-1)-3+1)=3^( -4a )*((1)/(3)-2)=\\ \\=3^( -4a )*(-1(2)/(3))=3^( -4a )*(-(5)/(3))=3^( -4a )*(-5)*(1)/(3) =-5 *3^( -4a )*3^(-1)=\\ \\ =-5 *3^( -4a +(-1))=-5 *3^( -4a -1)


User Farhad Farzin
by
7.5k points
← Prev Question Next Question →

Related questions

User Ptr
asked Mar 9, 2024 293 views
Given functions: g(a)=4a−1, h(a)=−2a−5 Find (g−h)(a): A. -6a - 4 B. 6a - 4 C. 8 D. 6a + 4
Ptr asked Mar 9, 2024
by Ptr
7.7k points
2 answers
0 votes
293 views
User SolidSun
asked Feb 6, 2022 52.8k views
Find any solution(s) of 3a+2+4a−1=0.
SolidSun asked Feb 6, 2022
by SolidSun
7.8k points
2 answers
2 votes
52.8k views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!