(
27
64
)
−
2
3
\left(\dfrac{27}{64}\right)^{-\frac{2}{3}}
(
64
27
)
−
3
2
= ?
−
9
16
-\dfrac{9}{16}
−
16
9
−
9
32
-\dfrac{9}{32}
−
32
9
9
32
\dfrac{9}{32}
32
9
16
9
\dfrac{16}{9}
9
16
32
9
\dfrac{32}{9}
9
32
Summary
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Approach 1
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Approach 2
(
27
64
)
−
2
3
\left(\frac{27}{64}\right)^{-\frac{2}{3}}
(
64
27
)
−
3
2
=
(
64
27
)
2
3
= \left(\frac{64}{27}\right)^{\frac{2}{3}}
=
(
27
64
)
3
2
=
(
64
27
3
)
2
= \left(\sqrt[3]{\frac{64}{27}}\right)^2
=
(
3
27
64
)
2
=
(
4
3
)
2
= \left(\frac{4}{3}\right)^2
=
(
3
4
)
2
=
16
9
= \boxed{\frac{16}{9}}
=
9
16