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Popular >

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

Solution

simplify

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

Solution

1

Solution steps

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

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

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

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

= 1^{x}

Apply rule

1^{a} = 1

= 1

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Frequently Asked Questions (FAQ)

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