What is \sqrt[2*5]{(2x)^{5*1}} ?

The solution to \sqrt[2*5]{(2x)^{5*1}} is sqrt(2)sqrt(x)

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Popular >

simplify \sqrt[25]{(2x)^{51}}

simplify

2 x

Solution steps

Apply radical rule:

= ((2 x)^{5 \cdot 1})^{\frac{1}{2 \cdot 5}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (2 x)^{5 \cdot 1 \cdot \frac{1}{2 \cdot 5}}

5 \cdot 1 \cdot \frac{1}{2 \cdot 5} = \frac{1}{2}

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

a^{\frac{1}{2}} = a

= 2 x

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 2 x

20 e^{- 0.5 (7)}

What is \sqrt[2*5]{(2x)^{5*1}} ?
The solution to \sqrt[2*5]{(2x)^{5*1}} is sqrt(2)sqrt(x)