y = \frac{ { -5 }^{ 2 } - { 4 }^{ 2 } +( \frac{ { 1 }^{ } }{ 5 } )0 }{ { 3 }^{ -2 } +1 }
Solve for y
y = \frac{81}{10} = 8\frac{1}{10} = 8.1
Assign y
y≔\frac{81}{10}
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y=\frac{25-4^{2}+\frac{1^{1}}{5}\times 0}{3^{-2}+1}
Calculate -5 to the power of 2 and get 25.
y=\frac{25-16+\frac{1^{1}}{5}\times 0}{3^{-2}+1}
Calculate 4 to the power of 2 and get 16.
y=\frac{9+\frac{1^{1}}{5}\times 0}{3^{-2}+1}
Subtract 16 from 25 to get 9.
y=\frac{9+\frac{1}{5}\times 0}{3^{-2}+1}
Calculate 1 to the power of 1 and get 1.
y=\frac{9+0}{3^{-2}+1}
Multiply \frac{1}{5} and 0 to get 0.
y=\frac{9}{3^{-2}+1}
Add 9 and 0 to get 9.
y=\frac{9}{\frac{1}{9}+1}
Calculate 3 to the power of -2 and get \frac{1}{9}.
y=\frac{9}{\frac{10}{9}}
Add \frac{1}{9} and 1 to get \frac{10}{9}.
y=9\times \frac{9}{10}
Divide 9 by \frac{10}{9} by multiplying 9 by the reciprocal of \frac{10}{9}.
y=\frac{81}{10}
Multiply 9 and \frac{9}{10} to get \frac{81}{10}.
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}