Question

Sa se calculeze
a) 5^3•15^2•25^3•(1/125)^3
b)2^2•4^2•8^2•(1/16)^2
Multumesc frumos

Answer 1

Răspuns:

Explicație pas cu pas:

folosim formulele aⁿxbⁿ=(axb)ⁿ

aⁿxaˣ=aⁿ⁺ˣ

aⁿ:aˣ=aⁿ⁻ˣ

(aⁿ)ˣ=aⁿˣ

a) 5³•15²•25³•(1/125)³=5³•(3•5)²•(5²)³•(1³:125³)=5³•3²•5²•5⁶•(1³:5³)=3²•5³⁺²⁺⁶:5³=3²•5¹¹:5³=3²•5¹¹⁻³=3²•5⁹

b)2²•4²•8²•(1/16)²=2²•(2²)²•(2³)²•1²:16²=2²•2⁴•2⁶•1:(2⁴)²=2²⁺⁴⁺⁶:2⁸=2¹²:2⁸=2¹²⁻⁸=2⁴=16