Math, asked by ashrafshaik554, 9 months ago

if 52/160=13/(2^n×5^m)​

Answers

Answered by arav100
8

Answer:

n=3 m=1

Step-by-step explanation:

  • 52/160=13/(2^n×5^m)
  • 13/40=13/(2^n×5^m)
  • (2^n×5^m)=40
  • (2^n×5^m)=2^3×5
  • so,
  • on comparing
  • n=3 and m=1
Answered by karnagaddam3
3

Answer:

4

Step-by-step explanation:

52/160=13/2^n5^m

52(2^n5^m)=160×13/52

2^n5^m=40

2^n×5^m=2^3×5^1

bases r equal then exponents must b equal

therefore n=3&m=1

n+m=3+1

n+m=4

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