if 1080 = 2^a3^b5^c find a,b,c hence find 2^-a×3^c×5^b
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Step-by-step explanation:
Shahil Kumar roll no.14
assessment worksheet complete hindi
Date 1/10/2021
assessment worksheet no.6
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Answer:
375/8
Step-by-step explanation:
1.Prime Factorise 1080:-
5║1080
3║216
3║72
3║24
2║8
2║4
2║2
1║1
1080= 2^{3} x 3^{3} x 5^{1}
∴ a=3,b=3,c=1
2.Finding solution:-
2^{-a} x 3^{c} x 5^{b}
= 2^{-3} x 3^{1} x 5^{3}
= (1/8) x 3 x 125 = 375/8
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