Esercizio
$\sqrt[119]{42^3.115^5.245^7.207^9.154^{11}.104^{13}.32^{16}}$
Soluzione passo-passo
Impara online a risolvere i problemi di espressioni radicali passo dopo passo. Simplify the expression with radicals 42^3.115^5.245^7.207^9.154^11.104^13.32^16^(1/119). Simplify \sqrt{\left(\left(\left(\left(\left(\left(42^{3.115}\right)^{5.245}\right)^{7.207}\right)^{9.154}\right)^{11.104}\right)^{13.32}\right)^{16}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 16 and n equals \frac{1}{119}. Simplify \left(\left(\left(\left(\left(42^{3.115}\right)^{5.245}\right)^{7.207}\right)^{9.154}\right)^{11.104}\right)^{13.32}^{\frac{16}{119}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 13.32 and n equals \frac{16}{119}. Simplify \left(\left(\left(\left(\left(42^{3.115}\right)^{5.245}\right)^{7.207}\right)^{9.154}\right)^{11.104}\right)^{1.7909} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 11.104 and n equals 1.7909. Simplify \left(\left(\left(\left(42^{3.115}\right)^{5.245}\right)^{7.207}\right)^{9.154}\right)^{19.8864} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 9.154 and n equals 19.8864.
Simplify the expression with radicals 42^3.115^5.245^7.207^9.154^11.104^13.32^16^(1/119)
Risposta finale al problema
$42^{21435.1078}$