What is expand 5sqrt(e^{-10x)(1+e^{20x})} ?

The solution to expand 5sqrt(e^{-10x)(1+e^{20x})} is 5sqrt(e^{-10x)}sqrt(e^{20x)+1}

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expand 5sqrt(e^{-10x)(1+e^{20x})}

expand

5 e^{- 10 x} (1 + e^{20 x})

5 e^{- 10 x} e^{20 x} + 1

Solution steps

5 e^{- 10 x} (1 + e^{20 x})

Apply radical rule:

ab = a b

e^{- 10 x} (1 + e^{20 x}) = e^{- 10 x} 1 + e^{20 x}

= 5 e^{- 10 x} e^{20 x} + 1

3 e^{- \frac{1}{3}}

e^{- 6.9315 \times 1 0^{- 4} (3000)}

(5 x y^{3}) (2 x^{2} y^{4})

(- 4)^{3}

(3 a^{4} b^{3} c^{3}) (8 a^{4} b^{5} - 7 b^{3} d^{6} + 7 b^{2} c^{3})

What is expand 5sqrt(e^{-10x)(1+e^{20x})} ?
The solution to expand 5sqrt(e^{-10x)(1+e^{20x})} is 5sqrt(e^{-10x)}sqrt(e^{20x)+1}