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# Mathematical Expressions Calculator

## The expression calculator is designed to calculate and simplify expressions of any type. To get started, enter an expression following the rules for entering numbers and functions and, if necessary, specify the value of the variables used in the expression.

 Expression Variables*optional Action Calculate Simplify

### Expression input examples

Expression:
$\frac{1}{2}-3.7$
Input:
(1/2) - 3.7
Expression:
$\frac{1}{5}+\frac{3}{5}$
Input:
(1/5)+(3/5)
Expression:
$\frac{1}{7}:\frac{4}{9}$
Input:
(1/7)/(4/9)
Expression:
${2.5}^{-1/3}$
Input:
(2.5)^(-1/3)
Expression:
${\left(3.7\text{​}-2\right)}^{4.2\text{​}+6}$
Input:
(3.7 - 2)^(4.2 + 6)
Expression:
${4}^{{2}^{3}}$
Input:
4^(2^(3))
Expression:
$-\sqrt{\frac{1}{6}}+\sqrt{4}$
Input:
-sqrt(1/6)+sqrt(4)
Expression:
$\sqrt{\frac{5}{9}}+\sqrt{{3}^{5.3}}$
Input:
sqrt(5/9)+sqrt(3^(5.3))
Expression:
$\sqrt[3]{2}+\sqrt[4]{2}$
Input:
root(2, 3) + root(2, 4)
Expression:
${\left(\sqrt{3}\right)}^{\frac{5}{9}}$
Input:
(sqrt(3))^(5/9)
Expression:
$\sqrt{{\left(-\frac{6}{14}+\frac{1}{2}\right)}^{2}}$
Input:
sqrt((-(6/13)+(1/2))^2)
Expression:
$\sqrt{\sqrt{\frac{1}{3}+\frac{1}{7}}}$
Input:
sqrt(sqrt((1/3)+(1/7)))
Expression:
${\left(\sqrt{5.42}\right)}^{\sqrt{1.2}}$
Input:
(sqrt(5.42))^(sqrt(1.2))
Expression:
$\mathrm{ab} · \mathrm{cd}-{a}^{2}$
Input:
a*b * c*d - a^2
Expression:
${\mathrm{ab}}^{2}-{\mathrm{cd}}^{2}$
Input:
(a*b)^2 - (c*d)^2
Expression:
$2a-3{b}^{2}$
Input:
2*a - 3*b^2
Expression:
$2{x}^{2}$
Input:
2*x^2
Expression:
${\left(a+b\right)}^{2}$
Input:
(a + b)^2
Expression:
${\left(ab\right)}^{\frac{1}{3}}-{\left(cd\right)}^{\frac{1}{3}}$
Input:
((a*b)^(1/3))-((c*d)^(1/3))
Expression:
$\sqrt{{\left({a}^{2}+{b}^{2}\right)}^{ab}}$
Input:
sqrt((a^(2)+b^(2))^(a*b))
Expression:
$xy+6+2y+3x$
Input:
x*y + 6 + 2*y + 3*x
Expression:
$3.4{x}^{13}-{x}^{3}y+6{x}^{2}y$
Input:
3.4*x^(13) - x^(3)*y +6*x^(2)*y
Expression:
${\mathrm{sin}}^{2}\alpha +{\mathrm{cos}}^{2}\alpha$
Input:
sin(α)^2+cos(α)^2
Expression:
$\mathrm{cos}\left(\frac{7\pi }{2}-\alpha \right)$
Input:
cos(((7*π)/2)-α)
Expression:
$\mathrm{sin}\left(2\pi +a\right)$
Input:
sin(2*π+a)
Expression:
$\mathrm{cos}\left(\frac{\pi }{3}\right)+\mathrm{sin}\left(\frac{\pi }{2}\right)$
Input:
cos(pi/3)+sin(pi/2)
Expression:
$\mathrm{tan}\left(2\pi \right)+\mathrm{cot}\left(\frac{3\pi }{2}\right)$
Input:
tan(2*pi)+cot((3*pi)/2)
Expression:
$\mathrm{arccos}\left(1\right)+\mathrm{arcsin}\left(\frac{\sqrt{2}}{2}\right)$
Input:
acos(1)+asin(sqrt(2)/2)