Dusing829 Dusing829
  • 24-03-2014
  • Mathematics
contestada

Simplify expression:
3^{−(4a+1)} −3^{−(4a−1)} + 3^{−4a}

Respuesta :

Lilith
Lilith Lilith
  • 24-03-2014
[tex]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 }*(\frac{1}{3}-2)=\\ \\=3^{ -4a }*(-1\frac{2}{3})=3^{ -4a }*(-\frac{5}{3})=3^{ -4a }*(-5)*\frac{1}{3} =-5 *3^{ -4a }*3^{-1}=\\ \\ =-5 *3^{ -4a +(-1)}=-5 *3^{ -4a -1}[/tex]


Answer Link

Otras preguntas

sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
What is an example of chemical potential energy in humans?
Which belief was generally held by the Founding Fathers at the Constitutional Convention in 1787?
How does frost action cause weathering
Why are americans' viewpoints differ on the cause and legacy of the US Civil War?
The Prairie Provinces provide much of Canada’s _____. A. manufacturing and service jobs B. gold and silver C. lumber and minerals D. grain and cattle
Where the graphs of supply and demand functions intersect the market is in equilibrium
star: a object made of gas found in outer space that radiates
Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x – What are the solutions of –x2 + 4x = x – 4?
Simplify the expression: 1/1+cot^2x