# Simplify (4^(n+1)-4^(n-1))/(4^n) 4n+1-4n-14n
Split the fraction 4n+1-4n-14n into two fractions.
4n+14n+-4n-14n
Cancel the common factor of 4n+1 and 4n.
Factor 4n out of 4n+1.
4n⋅44n+-4n-14n
Cancel the common factors.
Multiply by 1.
4n⋅44n⋅1+-4n-14n
Cancel the common factor.
4n⋅44n⋅1+-4n-14n
Rewrite the expression.
41+-4n-14n
Divide 4 by 1.
4+-4n-14n
4+-4n-14n
4+-4n-14n
Cancel the common factor of 4n-1 and 4n.
Factor 4n out of -4n-1.
4+4n(-4-1)4n
Cancel the common factors.
Multiply by 1.
4+4n(-4-1)4n⋅1
Cancel the common factor.
4+4n(-4-1)4n⋅1
Rewrite the expression.
4+-4-11
Divide -4-1 by 1.
4-4-1
4-4-1
4-4-1
Rewrite the expression using the negative exponent rule b-n=1bn.
4-14
To write 4 as a fraction with a common denominator, multiply by 44.
4⋅44-14
Combine 4 and 44.
4⋅44-14
Combine the numerators over the common denominator.
4⋅4-14
Simplify the numerator.
Multiply 4 by 4.
16-14
Subtract 1 from 16.
154
154
The result can be shown in multiple forms.
Exact Form:
154
Decimal Form:
3.75
Mixed Number Form:
334
Simplify (4^(n+1)-4^(n-1))/(4^n)

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