Simplify and write in exponential form (1/3)^-5*(2/3)^-2
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(2/7)
2
×(7/2)
−3
÷{(7/5)
−2
}
−4
Let us simplify
(2/7)
2
×(7/2)
−3
÷{(7/5)
−2
}
−4
=(2/7)
2
×(7/2)
3
÷(7/5)
8
(2/7)
2
×(2/7)
3
×(5/7)
8
=(2
2
/7
2
)×(2
3
/7
3
)×(5
8
/7
8
)
=(2
2+3
/7
2+3
)×(5
8
/7
8
)
=(2
5
/7
5
)×(5
8
/7
8
)
=
7
5+8
(2
5
×5
8
)
=
7
13
(2
5
×5
8
)
The exponential form is
7
13
(2
5
×5
8
)
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