Simplify (3(2^n)-4*2^(n-2))/(2^n-2^(n-1))

Math
3(2n)-4⋅2n-22n-2n-1
Simplify the numerator.
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Multiply -4⋅2n-2.
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Factor out negative.
3⋅2n-(4⋅2n-2)2n-2n-1
Rewrite 4 as 22.
3⋅2n-(22⋅2n-2)2n-2n-1
Use the power rule aman=am+n to combine exponents.
3⋅2n-22+n-22n-2n-1
Subtract 2 from 2.
3⋅2n-2n+02n-2n-1
Add n and 0.
3⋅2n-2n2n-2n-1
3⋅2n-2n2n-2n-1
Subtract 2n from 3⋅2n.
2⋅2n2n-2n-1
2⋅2n2n-2n-1
Multiply 2 by 2n.
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Raise 2 to the power of 1.
21⋅2n2n-2n-1
Use the power rule aman=am+n to combine exponents.
21+n2n-2n-1
21+n2n-2n-1
Simplify (3(2^n)-4*2^(n-2))/(2^n-2^(n-1))

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