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Popular >

simplify (-5)^n(-1/5)^n

Solution

simplify

(- 5)^{n} (- \frac{1}{5})^{n}

Solution

1^{n}

Solution steps

(- 5)^{n} (- \frac{1}{5})^{n}

Apply exponent rule:

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

(- 5)^{n} (- \frac{1}{5})^{n} = (- 5 (- \frac{1}{5}))^{n}

= (- 5 (- \frac{1}{5}))^{n}

- 5 (- \frac{1}{5}) = 1

= 1^{n}

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Frequently Asked Questions (FAQ)

What is (-5)^n(-1/5)^n ?
The solution to (-5)^n(-1/5)^n is 1^n