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Popular >

simplify 2^{n+1}+2^{n+1}

Solution

simplify

2^{n + 1} + 2^{n + 1}

Solution

2^{n + 2}

Solution steps

2^{n + 1} + 2^{n + 1}

Add similar elements:

2^{n + 1} + 2^{n + 1} = 2 \cdot 2^{n + 1}

= 2 \cdot 2^{n + 1}

Apply exponent rule:

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

2 \cdot 2^{n + 1} = 2^{1 + n + 1}

= 2^{1 + n + 1}

Add the numbers:

1 + 1 = 2

= 2^{n + 2}

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Frequently Asked Questions (FAQ)

What is 2^{n+1}+2^{n+1} ?
The solution to 2^{n+1}+2^{n+1} is 2^{n+2}