Final answer to the problem
$x=0.8325532$
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Step-by-step Solution
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1
Removing the variable's exponent raising both sides of the equation to the power of $\frac{1}{5}$
$\left(x^5\right)^{\frac{1}{5}}=\left(\frac{2}{5}\right)^{\frac{1}{5}}$
Learn how to solve classify algebraic expressions problems step by step online.
$\left(x^5\right)^{\frac{1}{5}}=\left(\frac{2}{5}\right)^{\frac{1}{5}}$
Learn how to solve classify algebraic expressions problems step by step online. Find the break even points of the expression x^5=2/5. Removing the variable's exponent raising both sides of the equation to the power of \frac{1}{5}. Divide 1 by 5. Simplify \sqrt[5]{x^5} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals \frac{1}{5}. Multiply 5 times \frac{1}{5}.
Final answer to the problem
$x=0.8325532$