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Simplify $\sqrt[5]{25^{\left(4x+1\right)}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $4x+1$ and $n$ equals $\frac{1}{5}$
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$25^{\frac{1}{5}\left(4x+1\right)}=\sqrt[4]{125^{\left(2x+2\right)}}$
Learn how to solve problems step by step online. Solve the exponential equation 25^(4x+1)^(1/5)=125^(2x+2)^(1/4). Simplify \sqrt[5]{25^{\left(4x+1\right)}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4x+1 and n equals \frac{1}{5}. Simplify \sqrt[4]{125^{\left(2x+2\right)}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2x+2 and n equals \frac{1}{4}. Multiply the single term \frac{1}{5} by each term of the polynomial \left(4x+1\right). Simplifying.
