Math, asked by leocharlesfernandez5, 8 hours ago

if 1080 = 2^a3^b5^c find a,b,c hence find 2^-a×3^c×5^b​

Answers

Answered by shahilkumar98102576
0

Step-by-step explanation:

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Date 1/10/2021

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Answered by arnavdeshpande13
0

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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