What is (-x-0.11)^{2x}(-x)^{-2x} ?

The solution to (-x-0.11)^{2x}(-x)^{-2x} is ((-x-0.11)^{2x})/((-x)^{2x)}

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simplify (-x-0.11)^{2x}(-x)^{-2x}

simplify

(- x - 0.11)^{2 x} (- x)^{- 2 x}

\frac{( - x - 0.11 ) ^{2 x}}{( - x ) ^{2 x}}

Solution steps

(- x - 0.11)^{2 x} (- x)^{- 2 x}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

= (- x - 0.11)^{2 x} \frac{1}{( - x ) ^{2 x}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( - x - 0.11 ) ^{2 x} \cdot 1}{( - x ) ^{2 x}}

Apply rule:

a \cdot 1 = a

(- x - 0.11)^{2 x} \cdot 1 = (- x - 0.11)^{2 x}

= \frac{( - x - 0.11 ) ^{2 x}}{( - x ) ^{2 x}}

320 e^{- 3.1 (0)}

e^{2 x} e^{y}

4 x (5 x^{3})

(5 x^{2}) (2 x^{5})

2.46 \cdot 1 0^{- 5}

What is (-x-0.11)^{2x}(-x)^{-2x} ?
The solution to (-x-0.11)^{2x}(-x)^{-2x} is ((-x-0.11)^{2x})/((-x)^{2x)}