Simplify 8 -2/3 please (leave as fraction)

asked Mar 9, 2015 168k views

3 votes

$Simplify 8 -2/3 please (leave as fraction)-example-1$

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$8^{-(2)/(3)}=\\ \left((1)/(8)\right)^{(2)/(3)}=\\ \sqrt[3]{\left((1)/(8)\right)^2}=\\ \sqrt[3]{(1)/(64)}=\\ (1)/(4)$

Lekso answered Mar 11, 2015

by Lekso

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$8^{-(2)/(3)}=\left(2^3\right)^{-(2)/(3)}=2^{3\cdot(-(2)/(3))}=2^(-2)=\left((1)/(2)\right)^2=(1)/(4)$

Jprim answered Mar 15, 2015

by Jprim

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