Evaluate
471.4314324855804443359375
Factor
\frac{7 ^ {11}}{2 ^ {22}} = 471\frac{1809559}{4194304} = 471.43143248558044
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\sqrt{\left(\frac{35}{20}\right)^{22}}
Expand \frac{3.5}{2} by multiplying both numerator and the denominator by 10.
\sqrt{\left(\frac{7}{4}\right)^{22}}
Reduce the fraction \frac{35}{20} to lowest terms by extracting and canceling out 5.
\sqrt{\frac{3909821048582988049}{17592186044416}}
Calculate \frac{7}{4} to the power of 22 and get \frac{3909821048582988049}{17592186044416}.
\frac{1977326743}{4194304}
Rewrite the square root of the division \frac{3909821048582988049}{17592186044416} as the division of square roots \frac{\sqrt{3909821048582988049}}{\sqrt{17592186044416}}. Take the square root of both numerator and denominator.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}