Solve for y
y=\frac{4}{x^{12}}
x\neq 0
Solve for x
x=\frac{\sqrt[6]{2}}{\sqrt[12]{y}}
x=-\frac{\sqrt[6]{2}}{\sqrt[12]{y}}\text{, }y>0
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x^{2}yxxxxxxxxxx=4
Multiply x and x to get x^{2}.
x^{3}yxxxxxxxxx=4
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
x^{4}yxxxxxxxx=4
To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.
x^{5}yxxxxxxx=4
To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.
x^{6}yxxxxxx=4
To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.
x^{7}yxxxxx=4
To multiply powers of the same base, add their exponents. Add 6 and 1 to get 7.
x^{8}yxxxx=4
To multiply powers of the same base, add their exponents. Add 7 and 1 to get 8.
x^{9}yxxx=4
To multiply powers of the same base, add their exponents. Add 8 and 1 to get 9.
x^{10}yxx=4
To multiply powers of the same base, add their exponents. Add 9 and 1 to get 10.
x^{11}yx=4
To multiply powers of the same base, add their exponents. Add 10 and 1 to get 11.
x^{12}y=4
To multiply powers of the same base, add their exponents. Add 11 and 1 to get 12.
\frac{x^{12}y}{x^{12}}=\frac{4}{x^{12}}
Divide both sides by x^{12}.
y=\frac{4}{x^{12}}
Dividing by x^{12} undoes the multiplication by x^{12}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}