- 3 ^ { 2 } \quad \text { II } 4.7 ^ { 2 } - 3 ^ { 4 } : 9
Evaluate
-\frac{19881I^{2}}{100}-9
Factor
-\frac{9\left(2209I^{2}+100\right)}{100}
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\left(-3^{2}\right)I^{2}\times 4.7^{2}-\frac{3^{4}}{9}
Multiply I and I to get I^{2}.
-9I^{2}\times 4.7^{2}-\frac{3^{4}}{9}
Calculate 3 to the power of 2 and get 9.
-9I^{2}\times 22.09-\frac{3^{4}}{9}
Calculate 4.7 to the power of 2 and get 22.09.
-198.81I^{2}-\frac{3^{4}}{9}
Multiply -9 and 22.09 to get -198.81.
-198.81I^{2}-\frac{81}{9}
Calculate 3 to the power of 4 and get 81.
-198.81I^{2}-9
Divide 81 by 9 to get 9.
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}