Question

Sendo a= 10^-4, b= 10^-5 c= 10^3 determine.
a) a.b.c
b) a:b²
c) a: (b.c)
d) a².b²
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c²

Answer 1

a = 10⁻⁴
b = 10⁻⁵
c = 10³


a) 10⁻⁶
a . b . c =
= 10⁻⁴ . 10⁻⁵ . 10³ =
= 10⁻⁴⁻⁵⁺³ =
= 10⁻⁶

b) 10⁶
a : b² =
= 10⁻⁴ : (10⁻⁵)² =
= 10⁻⁴ : 10⁻¹⁰ =
= 10⁻⁴⁺¹⁰ =
= 10⁶

c) 10⁻²
a : (b . c) =
= 10⁻⁴ : (10⁻⁵ . 10³) =
= 10⁻⁴ : 10⁻⁵⁺³ =
= 10⁻⁴ : 10⁻² =
= 10⁻⁴⁺² =
= 10⁻²

d) 10⁻²¹
(a² . b²) : c² =
= ((10⁻⁴)² . (10⁻⁵)²) : 10³ =
= (10⁻⁸ . 10⁻¹⁰) : 10³ =
= 10⁻⁸⁻¹⁰ : 10³ =
= 10⁻¹⁸ : 10³ =
= 10⁻¹⁸⁻³ =
= 10⁻²¹