Prove that :-
[tex]( \frac{81}{16} ) ^{ \frac{ - 3}{4} } \times (( \frac{25}{9} ) ^{ \frac{ - 3}{2} } \div ( \frac{5}{2} ) ^{ - 3} )) = 1[/tex]
Best, appropriate and correct answer will be marked as brainliest.
[tex]( \frac{81}{16} ) ^{ \frac{ - 3}{4} } \times (( \frac{25}{9} ) ^{ \frac{ - 3}{2} } \div ( \frac{5}{2} ) ^{ - 3} )) = 1[/tex]
Best, appropriate and correct answer will be marked as brainliest.
Answers & Comments
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