simplify
pls solve in book stepwise
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I have attached required answer in pic
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Answer:
Step-by-step explanation:
25 = 5^2.
243 = 3^5
16 = 2^4
8 = 2^3
(25)^3/2 × (243)^3/5
--------------------―------
(16)^5/4 × (8)4/3
=[(5^2)^3/2 × (3^5)^3/5] /
[(2^4)^5/4 × (2^3)^4/3]
Simplify all the exponents ( powers)
=( 5^3 × 3^3) / (2^5 × 2^4)
= (125 × 27) / (32 × 16)
= 3375/512
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