Question

Докажи,что значение выражения шестнадцать в четвертой степени плюс восемь в пятой степени минус четыре в седьмой степени делиться нацело на десять как решать

Answer 1

16^4+8^5-4^7=...
16 в 4 степени(16^4)=65536
8^5=32768
4^7=16384
=...65536+32768-16384=81920
81920 делится нацело на 10, будет 81920:10=8192

Answer 2

16^4 = 2^16
8^5 = 2^15
47 = 2^14
Имеем 2^16 + 2^15 - 2^14 = 2^14*(2^2 + 2 - 1) = 2^14 * 5 = 2^13 * 10
очевидно делится на 10

Answer 3

Solving the Expression

To solve the expression 16^4 + 8^5 - 4^7 ÷ 10, we can follow these steps:

1. Calculate each part of the expression separately. 2. Then perform the operations in the correct order: exponentiation first, then division and subtraction.

Step 1: Calculate Each Part of the Expression

1. 16^4: - This is equal to 65,536.

2. 8^5: - This is equal to 32,768.

3. 4^7: - This is equal to 16,384.

4. 4^7 ÷ 10: - This is equal to 1,638.4.

Step 2: Perform the Operations in the Correct Order

Now, let's perform the operations in the correct order:

16^4 + 8^5 - 4^7 ÷ 10 = 65,536 + 32,768 - 1,638.4 = 97,104.6

Conclusion

The value of the expression 16^4 + 8^5 - 4^7 ÷ 10 is approximately 97,104.6.