Simplify– (81/16)^-3/4[(25/9)^-3/2 ÷ (5/2)^-3]
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Answer:
Step-by-step explanation:
81/16)
−3/4
×[(25/9)
−3/2
÷(5/2)
−3
]=(
2
4
3
4
)
−3/4
×[(
3
2
5
2
)
−3/2
÷(
2
5
)
−3
]=(
2
3
)
−3
×[(
3
5
)
−3
÷(
2
5
)
−3
]
=(
3
2
)
3
×[(
5
3
)
3
÷(
5
2
)
3
]=(
3
3
2
3
)×(
5
3
3
3
)×(
2
3
5
3
)=1
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