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Popular >

factor 3^{(n+3)}-27

Solution

factor

3^{(n + 3)} - 27

Solution

27 (3^{n} - 1)

Solution steps

3^{n + 3} - 27

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= 3^{3} \cdot 3^{n} - 27

Rewrite as

= 27 \cdot 3^{n} - 27 \cdot 1

Factor out common term

27

= 27 (3^{n} - 1)

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Frequently Asked Questions (FAQ)

What is factor 3^{(n+3)}-27 ?
The solution to factor 3^{(n+3)}-27 is 27(3^n-1)