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F=(9.0•10^9 N•m^2/C^2)(3.2•10^-9C)(9.6•10^-9C)/(.32m)^2 in scientific notation

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m^(- 5) = 1/35 → you know that: x^(- a) = 1/x^(+ a) = 1/x^a

1/m^5 = 1/35 → you take the inverse

m^5 = 35

[m^5]^(1/5) = 35^(1/5) → recall: (x^a)^b = x^(ab)

m^[5 * (1/5)] = 35^(1/5)

m^[1)] = 35^(1/5)

m = 35^(1/5)


The scientific notation is a number between 1 and 9 with few numbers after coma (point) completed by a power 10.

= [1.4 * 10^(3)] * [2.5 * 10^(- 6)] → you remove the brackets

= 1.4 * 10^(3) * 2.5 * 10^(- 6) → you order

= 1.4 * 2.5 * 10^(3) * 10^(- 6) → you make the multiplication

= 3.5 * 10^(3) * 10^(- 6) → recall: (x^a) * (x^b) = x^(a + b)

= 3.5 * 10^(3 - 6)

= 3.5 * 10^(- 3) ← answer C
User Talha Rasool
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