Is this correct? Could someone explain this?

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01-02-2022
Mathematics

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Is this correct? Could someone explain this?

Sagot :

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Elijahrandall347idn Elijahrandall347idn · Answer 1 · 2022-02-01T19:12:59-05:00

Elijahrandall347idn Elijahrandall347idn

01-02-2022

It’s hard to explain but your right I got a good grade I did something like that so yeah

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Jdoe0001idn Jdoe0001idn · Answer 2 · 2022-02-01T19:31:50-05:00

[tex]\cfrac{512^{\frac{1}{3}}}{64^{\frac{2}{3}}}\implies \cfrac{(2^9)^{\frac{1}{3}}}{(2^6)^{\frac{2}{3}}}\implies \cfrac{2^3}{2^4}\implies \cfrac{1}{2^4\cdot 2^{-3}}\implies \cfrac{1}{2} \\\\[-0.35em] ~\dotfill\\\\ \boxed{A}\qquad \left( \cfrac{64^{\frac{2}{3}}}{512^{\frac{1}{3}}} \right)^{-1}\implies \left( \cfrac{512^{\frac{1}{3}}}{64^{\frac{2}{3}}} \right)^{+1}\implies \stackrel{from~above}{\cfrac{1}{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\boxed{B}\qquad \left( 64^{\frac{2}{3}}\times 512^{-\frac{1}{3}} \right)^{-1}\implies \left( \cfrac{64^{\frac{2}{3}}}{512^{\frac{1}{3}}} \right)^{-1}\implies \left( \cfrac{512^{\frac{1}{3}}}{64^{\frac{2}{3}}} \right)^{+1}\implies \stackrel{from~above}{\cfrac{1}{2}} \\\\[-0.35em] ~\dotfill\\\\ \boxed{C}\qquad \cfrac{64^{-\frac{2}{3}}}{512^{-\frac{1}{3}}}\implies \cfrac{512^{\frac{1}{3}}}{64^{\frac{2}{3}}}\implies\stackrel{from~above}{\cfrac{1}{2}}[/tex]

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