paigevendella paigevendella

17-11-2021
Mathematics

contestada

what is the value of n in the equation? 2.6 x 10^-2 = (5.2 x 10^7) / (2 x 10^n)

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sqdancefan sqdancefan

19-11-2021

Answer:

-9

Step-by-step explanation:

2.6×10^-2 = (5.2×10^7)/(2×10^n) = (5.2/2)×10^(7-n)

2.6×10^-2 = 2.6×10^(7-n)

The mantissas are equal, so we can equate the exponents:

-2 = 7 -n

n = 7 +2 = 9 . . . . . . add n+2

The value of n in the equation is 9.

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