Question

(25)^3/2. (243)^3/5 /(16)^5/4.(8)^4/5​

Answer 1

Answer:

15³/(2)³⁷/⁵

Step-by-step explanation:

(25)^3/2(243)⅗/(16)^5/4(8)^4/5

=(5²)^3/2(3⁵)⅗/[(2⁴)^5/4(2³)^4/5]

[(a^m)(a^n)=a^m+n]

(a^n)^m/n=a^m

(a^n)^m/a=a^mn/a

=(5)³(3)³/(2)5×(2)¹²/⁵

(a)^m(b)^m=ab^m

[(a^m)(a^n)=a^m+n]

=(5×3)³/(2)^5+12/5

=(15)³/(2)^5×5+12/5

=15³/(2)^25+12/5

=15³/(2)³⁷/⁵

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Answer 2

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