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Popular >

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

Solution

simplify

2^{x + 1} - 2^{x}

Solution

2^{x}

Solution steps

2^{x + 1} - 2^{x}

Apply exponent rule:

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

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

= 2^{1} \cdot 2^{x} - 2^{x}

Factor out common term

2^{x}

= 2^{x} (2^{1} - 1)

Refine

= 1 \cdot 2^{x}

Multiply:

1 \cdot 2^{x} = 2^{x}

= 2^{x}

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Frequently Asked Questions (FAQ)

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