Question

Представьте в виде степени с основанием 5 число:а)25⁴ (кому не видно степень 4)б)125³ (кому не видно степень 3)в)625² (кому не видно степень 2)Помогите плиз! Буду очень благодарна.Если не сложно объясните как решить,а то ни как не могу понять :С

Answer 1

5 в 8 степени
5 в 9ой степени
5 в 8ой степени

Answer 2

25^4=(5^2)^4=5^8.  ^ знак степени
125^3=(5^3)^3=5^9
625^2=(5^4)^2=25^4

Answer 3

Calculating Powers with Base 5

To represent the given numbers as powers with a base of 5, we need to understand the concept of exponentiation. In mathematics, exponentiation is the process of raising a number to a power. The power indicates how many times the base number should be multiplied by itself.

Let's calculate the given numbers as powers with a base of 5:

a) 25⁴: To calculate 25⁴, we need to multiply 25 by itself four times. Using the power rule, we can write this as (5²)⁴ since 25 can be expressed as 5². Applying the power rule, we get:

(5²)⁴ = 5^(2*4) = 5⁸

b) 125³: To calculate 125³, we need to multiply 125 by itself three times. Using the power rule, we can write this as (5³)³ since 125 can be expressed as 5³. Applying the power rule, we get:

(5³)³ = 5^(3*3) = 5⁹

c) 625²: To calculate 625², we need to multiply 625 by itself two times. Using the power rule, we can write this as (5⁴)² since 625 can be expressed as 5⁴. Applying the power rule, we get:

(5⁴)² = 5^(4*2) = 5⁸

Therefore, the numbers can be represented as powers with a base of 5 as follows: a) 25⁴ = 5⁸ b) 125³ = 5⁹ c) 625² = 5⁸

I hope this explanation helps! Let me know if you have any further questions.