by what number should (-2/3)^-3 be divided so that the quotient may be (4/27)^-2.
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Answered by
3
By what number should (-2/3)^-3 be divided so that the quotient may be (4/27)^-2.
Refer to the attachment
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Answered by
1
Let the number be x
x
(
3
−2
)
−3
=(
27
4
)
−2
⇒
x
(
2
−3
)
3
=(
4
27
)
2
⇒x=
(
4
27
)
2
(
2
−3
)
3
⇒x=
(
16
27
2
)
(
8
−27
)
⇒x=
27
−2
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