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

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

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7 votes

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

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