Come si semplifica # 8 ^ (- 2/3) #?
Risposta:
#1/4#
Spiegazione:
#"using the "color(blue)"laws of exponents"#
#•color(white)(x)a^mhArr1/a^m#
#•color(white)(x)a^(m/n)hArr(root(n) a)^m#
#8^(-2/3)=1/8^(2/3)=1/(root(3)8)^2=1/2^2=1/4#
#1/4#
#"using the "color(blue)"laws of exponents"#
#•color(white)(x)a^mhArr1/a^m#
#•color(white)(x)a^(m/n)hArr(root(n) a)^m#
#8^(-2/3)=1/8^(2/3)=1/(root(3)8)^2=1/2^2=1/4#