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