Question

Calculati punctul d e f g

Answer 1

d) (5⁵ × 25⁻²)/(5⁻³ ×125) =
= (5⁵ × 1/25²)/(1/5³ ×5³) =
= (5⁵ × 1/5⁴)/1=
= 5

e) [(0,1)⁵ ×(0,1)⁻³]/0,001=
= [(1/10)⁵ ×(1/10)⁻³]/(1/10³)=
= [(1/10)⁵ ×10³]×10³=
= 1/10²  × 10³=10 

f) 6⁻¹⁰ /(81⁻² ×32⁻²)=
=(1/6¹⁰) /(1/81² ×1/32²)=
=(1/6¹⁰) /(1/3⁸ ×1/2¹⁰)=
=[1/(2¹⁰×3¹⁰)] ×  (3⁸ ×2¹⁰)=
=1/3²=1/9

g) 15⁻³/(9⁻²  × 125⁻¹)=
=( 1/15³)/(1/3⁴  × 1/125¹)=
= [1/(3³×5³)] /(1/3⁴  × 1/5³)=
= [1/(3³×5³)] ×(3⁴ × 5³)=
=3