Esercizio
$\sqrt[32]{1+\left(9^8-1\right)\left(9^8+1\right)}$
Soluzione passo-passo
Impara online a risolvere i problemi di fattore per differenza dei quadrati passo dopo passo. Simplify the expression with radicals (1+(9^8-1)(9^8+1))^(1/32). Applicare la formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, dove a=9^8, b=1, c=-1, a+c=9^8+1 e a+b=9^8-1. Applicare la formula: a+b=a+b, dove a=1, b=-1 e a+b=1+\left(9^8\right)^2-1. Simplify \sqrt{\left(9^8\right)^2} 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 \frac{1}{32}. Simplify \sqrt{9^8} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 8 and n equals \frac{1}{16}.
Simplify the expression with radicals (1+(9^8-1)(9^8+1))^(1/32)
Risposta finale al problema
$3$