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Popular >

simplify (-2)^x(-1/2)^x

Solution

simplify

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

Solution

1

Solution steps

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

Apply exponent rule:

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

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

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

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

= 1^{x}

Apply rule

1^{a} = 1

= 1

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Frequently Asked Questions (FAQ)

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