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Simplify $\sqrt[5]{8^{\left(x-1\right)}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $x-1$ and $n$ equals $\frac{1}{5}$
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$8^{\frac{1}{5}\left(x-1\right)}=\left(\sqrt[3]{4}\right)^{\left(x+3\right)}$
Learn how to solve equations with cubic roots problems step by step online. Solve the equation with radicals 8^(x-1)^1/5=4^1/3^(x+3). Simplify \sqrt[5]{8^{\left(x-1\right)}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals x-1 and n equals \frac{1}{5}. Simplify \left(\sqrt[3]{4}\right)^{\left(x+3\right)} 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 x+3. Decompose 8 in it's prime factors. Simplify \left(2^{3}\right)^{\frac{1}{5}\left(x-1\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{5}\left(x-1\right).