Question

A=2³*3³*3⁷*13*27 b=3⁵*7*13⁷*23​

Answer 1

Ответ:

Пошаговое объяснение:

a=2³*3³*3⁷*13*27=2³*3³⁺⁷*13*27=2³*3¹⁰*13*27

b=3⁵*7*13⁷*23​

НОД(а;b)=3⁵*13

Answer 2

Ответ:3159

Пошаговое объяснение:

Распишем число а:

а= 2*2*2*3*3*3*3*3*3*3*3*3*3*13*27

Распишем число b:

b=3*3*3*3*3*7*13*13*13*13*13*13*13*13*23

НОД(a,b)=3*3*3*3*3*13=3159

Answer 3

a = 2³ * 3³ * 3⁷ * 13 * 27 To solve this, let's break it down step by step:

2³ = 2 * 2 * 2 = 8 3³ = 3 * 3 * 3 = 27 3⁷ = 3 * 3 * 3 * 3 * 3 * 3 * 3 = 2187 27 = 27 13 = 13

Now, let's substitute these values back into the original equation:

a = 8 * 27 * 2187 * 13 * 27

Similarly, let's break down the equation for b:

3⁵ = 3 * 3 * 3 * 3 * 3 = 243 7 = 7 13⁷ = 13 * 13 * 13 * 13 * 13 * 13 * 13 = 4826809 23 = 23

Now, let's substitute these values back into the original equation:

b = 243 * 7 * 4826809 * 23

Finally, we can calculate the values of a and b:

a = 8 * 27 * 2187 * 13 * 27 = 91916736 b = 243 * 7 * 4826809 * 23 = 19739005063

So, the values of a and b are: a = 91916736 b = 19739005063