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Equations with Cubic Roots Calculator

Get detailed solutions to your math problems with our Equations with Cubic Roots step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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1

Here, we show you a step-by-step solved example of equations with cubic roots. This solution was automatically generated by our smart calculator:

$\sqrt[3]{x}=2$
2

Removing the variable's exponent raising both sides of the equation to the power of $3$

$\left(\sqrt[3]{x}\right)^3=2^3$
3

Simplify $\left(\sqrt[3]{x}\right)^3$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{3}$ and $n$ equals $3$

$x^{3\left(\frac{1}{3}\right)}=2^3$
4

Multiply the fraction and term in $3\left(\frac{1}{3}\right)$

$x^{\frac{3}{3}}=2^3$
5

Divide $3$ by $3$

$x=2^3$
6

Calculate the power $2^3$

$x=8$

Final answer to the exercise

$x=8$

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