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

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

User Bahramdun Adil
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1 Answer

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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
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