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Popular >

factor 7^{n+4}-7^n

Solution

factor

7^{n + 4} - 7^{n}

Solution

2400 \cdot 7^{n}

Solution steps

7^{n + 4} - 7^{n}

Apply exponent rule:

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

= 7^{4} \cdot 7^{n} - 7^{n}

Factor out common term

7^{n}

= 7^{n} (2401 - 1)

Refine

= 2400 \cdot 7^{n}

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Frequently Asked Questions (FAQ)

What is factor 7^{n+4}-7^n ?
The solution to factor 7^{n+4}-7^n is 2400*7^n