What is \sqrt[7]{10^{ln(3)}} ?

The solution to \sqrt[7]{10^{ln(3)}} is 10^{(ln(3))/7}

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simplify \sqrt[7]{10^{ln(3)}}

simplify

1 0^{\frac{l n ( 3 )}{7}}

Decimal Notation

1.43530 \dots

Solution steps

Apply radical rule:

= (1 0^{l n (3)})^{\frac{1}{7}}

Apply exponent rule:

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

= 1 0^{l n (3) \frac{1}{7}}

ln (3) \frac{1}{7} = \frac{ln ( 3 )}{7}

= 1 0^{\frac{l n ( 3 )}{7}}

7 x^{5} y^{4} (10 x^{7} y^{5})

e^{- 0.0198679}

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

e^{a x} e^{\frac{b}{c} x}

What is \sqrt[7]{10^{ln(3)}} ?
The solution to \sqrt[7]{10^{ln(3)}} is 10^{(ln(3))/7}