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Popular >

simplify 4^n*(-1/4)^n

Solution

simplify

4^{n} \cdot (- \frac{1}{4})^{n}

Solution

(- 1)^{n}

Solution steps

4^{n} (- \frac{1}{4})^{n}

Apply exponent rule:

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

4^{n} (- \frac{1}{4})^{n} = (4 (- \frac{1}{4}))^{n}

= (4 (- \frac{1}{4}))^{n}

4 (- \frac{1}{4}) = - 1

= (- 1)^{n}

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Frequently Asked Questions (FAQ)

What is 4^n*(-1/4)^n ?
The solution to 4^n*(-1/4)^n is (-1)^n