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Step-by-step Solution

Solve the equation (arccos(sin(x)^y)^(1/x)^(1/y)-)^abs(abs(x)^^abs(y)=2)

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Answer

$\left(arccos\left(\sin\left(x\right)^y\right)^{\left(\frac{1}{xy}\right)}-1\right)^{\left|\left|x\right|^{\left(^{\left|y\right|}\right)}=2\right|}$

Step-by-step explanation

Problem to solve:

$\:|\sqrt[y]{arc\:cos\sqrt[x]{sen^y\left(x\right)}}-|x^{|x|}|^{^{|y|}}=2$
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Applying the power of a power property

$\left(arccos\left(\sin\left(x\right)^y\right)^{\frac{1}{x}\cdot\frac{1}{y}}-1\right)^{\left|\left|x\right|^{\left(^{\left|y\right|}\right)}=2\right|}$
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Multiplying fractions

$\left(arccos\left(\sin\left(x\right)^y\right)^{\left(\frac{1}{xy}\right)}-1\right)^{\left|\left|x\right|^{\left(^{\left|y\right|}\right)}=2\right|}$

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Answer

$\left(arccos\left(\sin\left(x\right)^y\right)^{\left(\frac{1}{xy}\right)}-1\right)^{\left|\left|x\right|^{\left(^{\left|y\right|}\right)}=2\right|}$
$\:|\sqrt[y]{arc\:cos\sqrt[x]{sen^y\left(x\right)}}-|x^{|x|}|^{^{|y|}}=2$

Main topic:

Equations

Time to solve it:

~ 0.48 seconds