Esercizio
$\sqrt{a^3}\sqrt{b^5}\sqrt{c^2}$
Soluzione passo-passo
Impara online a risolvere i problemi di espressioni equivalenti passo dopo passo. a^3^(1/2)b^5^(1/2)c^2^(1/2). Applicare la formula: \left(x^a\right)^b=x, dove a=2, b=1, x^a^b=\sqrt{c^2}, x=c e x^a=c^2. Simplify \sqrt{a^3} 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}{2}. Applicare la formula: \frac{a}{b}c=\frac{ca}{b}, dove a=1, b=2, c=3, a/b=\frac{1}{2} e ca/b=3\cdot \left(\frac{1}{2}\right). Simplify \sqrt{b^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}{2}.
a^3^(1/2)b^5^(1/2)c^2^(1/2)
Risposta finale al problema
$\sqrt{a^{3}}c\sqrt{b^{5}}$