\frac { ( \frac { 0 / 6 } { 2 } ) ^ { 2 } } { ( \frac { 0,3 } { 2 } ) ^ { 2 } \times ( \frac { 1 / 4 } { 2 } ) } =
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\frac{\left(\frac{0}{6\times 2}\right)^{2}}{\left(\frac{0,3}{2}\right)^{2}\times \frac{\frac{1}{4}}{2}}
Express \frac{\frac{0}{6}}{2} as a single fraction.
\frac{\left(\frac{0}{12}\right)^{2}}{\left(\frac{0,3}{2}\right)^{2}\times \frac{\frac{1}{4}}{2}}
Multiply 6 and 2 to get 12.
\frac{0^{2}}{\left(\frac{0,3}{2}\right)^{2}\times \frac{\frac{1}{4}}{2}}
Zero divided by any non-zero number gives zero.
\frac{0}{\left(\frac{0,3}{2}\right)^{2}\times \frac{\frac{1}{4}}{2}}
Calculate 0 to the power of 2 and get 0.
\frac{0}{\left(\frac{3}{20}\right)^{2}\times \frac{\frac{1}{4}}{2}}
Expand \frac{0,3}{2} by multiplying both numerator and the denominator by 10.
\frac{0}{\frac{9}{400}\times \frac{\frac{1}{4}}{2}}
Calculate \frac{3}{20} to the power of 2 and get \frac{9}{400}.
\frac{0}{\frac{9}{400}\times \frac{1}{4\times 2}}
Express \frac{\frac{1}{4}}{2} as a single fraction.
\frac{0}{\frac{9}{400}\times \frac{1}{8}}
Multiply 4 and 2 to get 8.
\frac{0}{\frac{9}{3200}}
Multiply \frac{9}{400} and \frac{1}{8} to get \frac{9}{3200}.
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Zero divided by any non-zero number gives zero.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}