Esercizio
$y=\sqrt{\frac{\left(x+3\right)^8}{\left(4x-5\right)^{10}}}$
Soluzione passo-passo
Impara online a risolvere i problemi di equazioni razionali passo dopo passo. y=(((x+3)^8)/((4x-5)^10))^(1/2). Applicare la formula: \left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}, dove a=\left(x+3\right)^8, b=\left(4x-5\right)^{10} e n=\frac{1}{2}. Simplify \sqrt{\left(4x-5\right)^{10}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 10 and n equals \frac{1}{2}. Simplify \sqrt{\left(x+3\right)^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}{2}. Simplify \sqrt{\left(4x-5\right)^{10}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 10 and n equals \frac{1}{2}.
y=(((x+3)^8)/((4x-5)^10))^(1/2)
Risposta finale al problema
$y=\frac{\left(x+3\right)^{4}}{\left(4x-5\right)^{5}}$