Evaluate
\frac{242}{49}\approx 4.93877551
Factor
\frac{2 \cdot 11 ^ {2}}{7 ^ {2}} = 4\frac{46}{49} = 4.938775510204081
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\frac{\left(7^{2}-\frac{6^{7}}{\left(3\times 2\right)^{5}}-6^{0}\right)^{2}}{7^{2}}+2\times 3^{2}-4^{2}
To multiply powers of the same base, add their exponents. Add 5 and 2 to get 7.
\frac{\left(49-\frac{6^{7}}{\left(3\times 2\right)^{5}}-6^{0}\right)^{2}}{7^{2}}+2\times 3^{2}-4^{2}
Calculate 7 to the power of 2 and get 49.
\frac{\left(49-\frac{279936}{\left(3\times 2\right)^{5}}-6^{0}\right)^{2}}{7^{2}}+2\times 3^{2}-4^{2}
Calculate 6 to the power of 7 and get 279936.
\frac{\left(49-\frac{279936}{6^{5}}-6^{0}\right)^{2}}{7^{2}}+2\times 3^{2}-4^{2}
Multiply 3 and 2 to get 6.
\frac{\left(49-\frac{279936}{7776}-6^{0}\right)^{2}}{7^{2}}+2\times 3^{2}-4^{2}
Calculate 6 to the power of 5 and get 7776.
\frac{\left(49-36-6^{0}\right)^{2}}{7^{2}}+2\times 3^{2}-4^{2}
Divide 279936 by 7776 to get 36.
\frac{\left(13-6^{0}\right)^{2}}{7^{2}}+2\times 3^{2}-4^{2}
Subtract 36 from 49 to get 13.
\frac{\left(13-1\right)^{2}}{7^{2}}+2\times 3^{2}-4^{2}
Calculate 6 to the power of 0 and get 1.
\frac{12^{2}}{7^{2}}+2\times 3^{2}-4^{2}
Subtract 1 from 13 to get 12.
\frac{144}{7^{2}}+2\times 3^{2}-4^{2}
Calculate 12 to the power of 2 and get 144.
\frac{144}{49}+2\times 3^{2}-4^{2}
Calculate 7 to the power of 2 and get 49.
\frac{144}{49}+2\times 9-4^{2}
Calculate 3 to the power of 2 and get 9.
\frac{144}{49}+18-4^{2}
Multiply 2 and 9 to get 18.
\frac{1026}{49}-4^{2}
Add \frac{144}{49} and 18 to get \frac{1026}{49}.
\frac{1026}{49}-16
Calculate 4 to the power of 2 and get 16.
\frac{242}{49}
Subtract 16 from \frac{1026}{49} to get \frac{242}{49}.
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}