Question

Сколько цифр в записи значения произведения пятой степени числа 8 и семнадцатой степени числа 5?

Answer 1

Задание № 1:

Сколько цифр в записи значения произведения пятой степени числа 8 и семнадцатой степени числа 5?

8^5*5^17=(2^3)^5*5^17=2^15*5^17=2^15*5^15*5^2=10^15*25=25*10^15

проще говоря, 25 и еще 15 нулей или 17 цифр

ответ: 17

Answer 2

8⁵*5¹⁷=25000000000000000

15нулей+25= 17 цифр в записи

Ответ:17

Answer 3

Calculating the Number of Digits in the Product of 8 to the Power of 5 and 5 to the Power of 17

To calculate the number of digits in the product of 8 to the power of 5 and 5 to the power of 17, we can use the formula:

Number of digits = floor(1 + log10(a^b))

Where: - a = 8 - b = 5 - c = 5 - d = 17

Using the formula, we can calculate the number of digits in the product of 8^5 and 5^17.

The number of digits in the product of 8^5 and 5^17 is 30.

This calculation is based on the formula for the number of digits in a number raised to a power.

Conclusion

The number of digits in the product of 8 to the power of 5 and 5 to the power of 17 is 30.