Impara online a risolvere i problemi di equazioni passo dopo passo. Solve the equation x^(5/8)=x^8^(1/5). Simplify \sqrt[5]{x^8} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 8 and n equals \frac{1}{5}. Applicare la formula: x^a=b\to \left(x^a\right)^{inverse\left(a\right)}=b^{inverse\left(a\right)}, dove a=\frac{5}{8}, b=\sqrt[5]{x^{8}}, x^a=b=\sqrt[8]{x^{5}}=\sqrt[5]{x^{8}} e x^a=\sqrt[8]{x^{5}}. Simplify \sqrt{x^{8}}\right)^{8}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{8}{5} and n equals \frac{8}{5}. Applicare la formula: \left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}, dove a=8, b=5 e n=2.

Solve the equation x^(5/8)=x^8^(1/5)