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Popular >

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

Solution

simplify

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

Solution

2^{n}

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}

1 - 1 = 0

= 2^{n}

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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