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Popular >

simplify 2^n*(-1/2)^n

Solution

simplify

2^{n} \cdot (- \frac{1}{2})^{n}

Solution

(- 1)^{n}

Solution steps

2^{n} (- \frac{1}{2})^{n}

Apply exponent rule:

a^{n} b^{n} = (a \cdot b)^{n}

2^{n} (- \frac{1}{2})^{n} = (2 (- \frac{1}{2}))^{n}

= (2 (- \frac{1}{2}))^{n}

2 (- \frac{1}{2}) = - 1

= (- 1)^{n}

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Frequently Asked Questions (FAQ)

What is 2^n*(-1/2)^n ?
The solution to 2^n*(-1/2)^n is (-1)^n