Math  /  Algebra

Question2n+12n+22n12n2\frac{2^{n+1}-2^{n+2}}{2^{n-1}-2^{n-2}}

Studdy Solution
Now simplify the entire expression by dividing the factored numerator and denominator:
2n+12n2 \frac{-2^{n+1}}{2^{n-2}}
This can be simplified by subtracting the exponents:
2n+1(n2)=23 -2^{n+1-(n-2)} = -2^{3}
Calculate the power of 2:
23=8 -2^{3} = -8
The simplified expression is:
8 \boxed{-8}

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