展开 e^{(25ln(63)-6(5ln(3)+6ln(7)))/(28)}

解答

展开

e^{\frac{25 l n ( 63 ) - 6 ( 5 l n ( 3 ) + 6 l n ( 7 ) )}{28}}

e^{\frac{20 l n ( 3 ) - 11 l n ( 7 )}{28}}

十进制

1.02046 \dots

求解步骤

e^{\frac{25 l n ( 63 ) - 6 ( 5 l n ( 3 ) + 6 l n ( 7 ) )}{28}}

\frac{25 ln ( 63 ) - 6 ( 5 ln ( 3 ) + 6 ln ( 7 ) )}{28} = \frac{20 ln ( 3 ) - 11 ln ( 7 )}{28}

= e^{\frac{20 l n ( 3 ) - 11 l n ( 7 )}{28}}

e x p an d x^{(\frac{2}{3})}

e x p an d (7 x^{2} + 1) \cdot \frac{d ^{2} y}{d x ^{2}}

e x p an d lo g_{10} (2) (\frac{u ^{2}}{v})^{3}

e x p an d \frac{2 ^{3} x ^{3} y ^{4}}{2 x y ^{2} z}

e x p an d \frac{π ( x + 6 ) ( 36 - x ^{2} )}{3}