Comparati numerele urmatoare, aducand mai intai puterile la aceeasi baza a) 5 la puterea 87 si 25 la puterea 36

I will answer in English.

We want to compare the numbers 5^87 and 25^36

First, let's write them in the same base.

remember the relations:

(a^x)^y = a^(x*y)

a^x/a^y = a^(x - y)

We know that 25 = 5^2

Then:

25^36 = (5^2)^36 = 5^(2*36)= 5^72

Now to compare them, we take the quotient:

(5^87/5^72) = 5^(87 - 72) = 5^15

Then we can conclude that:

5^87 is 5^15 times bigger than 25^36

47

step-by-step explanation: