Esercizio
$\sqrt{16}^9$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Simplify the expression with radicals 16^(1/2)^9. Simplify \left(\sqrt{16}\right)^9 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals 9. Applicare la formula: x^a=pfgmin\left(x\right)^a, dove a=\frac{9}{2} e x=16. Applicare la formula: \left(a^n\right)^m=\left(a^{\left(n-1\right)}a\right)^m, dove a^n=2^{4}, a=2, a^n^m=\sqrt{\left(2^{4}\right)^{9}}, m=\frac{9}{2} e n=4. Applicare la formula: \left(ab\right)^n=a^nb^n, dove a=2^{3}, b=2 e n=\frac{9}{2}.
Simplify the expression with radicals 16^(1/2)^9
Risposta finale al problema
$262144$