Esercizio
$\left(\left(\left(-3\right)^2\right)^{-5}\right)^4$
Soluzione passo-passo
Impara online a risolvere i problemi di poteri dei poteri passo dopo passo. (-3)^2^(-5)^4. Simplify \left(\left({\left(-3\right)}^2\right)^{-5}\right)^4 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 4. Applicare la formula: ab=ab, dove ab=-5\cdot 4, a=-5 e b=4. Simplify \left({\left(-3\right)}^2\right)^{-20} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals -20. Simplify \left(\left({\left(-3\right)}^2\right)^{-5}\right)^4 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 4.
Risposta finale al problema
${\left(-3\right)}^{-40}$