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Popular >

simplify 3^n(2*3^n)

Solution

simplify

3^{n} (2 \cdot 3^{n})

Solution

2 \cdot 9^{n}

Solution steps

3^{n} (2 \cdot 3^{n})

Apply exponent rule:

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

3^{n} \cdot 3^{n} = 3^{n + n}

= 2 \cdot 3^{n + n}

Add similar elements:

n + n = 2 n

= 2 \cdot 3^{2 n}

3^{2 n} = 9^{n}

= 2 \cdot 9^{n}

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Frequently Asked Questions (FAQ)

What is 3^n(2*3^n) ?
The solution to 3^n(2*3^n) is 2*9^n