Question

Aplicando as propriedades da potenciação, o expoente da base X será igual a:

(X⁸•X⁴) : (X⁴•X²)

a) 4
b) 6
c) 12
d) 2

Answer 1

Resposta: B

(X⁸•X⁴) : (X⁴•X²) =

= (X⁸⁺⁴) : (X⁴⁺²)

= (X¹²) : (X⁶)

= X¹²⁻⁶

= X⁶

Answer 2

Resposta:

B) X^6

$(x {}^{8}.x {}^{4}).(x {}^{4}x {}^{2}) = \\ x {}^{8}.x {}^{4} \div (x {}^{4}x {}^{2}) \\ x {}^{8} \times x {}^{4} \\ x {}^{8 + 4} \\ x {}^{12} \\ (x {}^{8} \times x {}^{4}) \div (x {}^{4} \times x {}^{2}) \\ x {}^{4} \times x {}^{2} \\ x {}^{4 + 2} \\ x {}^{6} \\ (x {}^{8} \times x {}^{4}) \div (x {}^{4} \times x {}^{2}) \\ x {}^{12} \div x {}^{6} \\ x {}^{12 - 6} \\x {}^{6} \\ x {}^{12} \div x {}^{6} \\ x {}^{6} \\ resposta \\ x {}^{6}$