Solution:
1. 2^4 x 2^4 = 16 x 16 = 256, which is greater than 2^7 = 128. So, the expression 2^4 x 2^4 > 2^7 is true.
2. 3^2 x 3^6 = 9 x 729 = 6561, which is equal to 3^7 = 2187. So, the expression 3^2 x 3^6 = 3^7 is false.
3. 4^3 x 4^5 = 64 x 1024 = 65536, which is less than 4^8 = 65536. So, the expression 4^3 x 4^5 < 4^8 is true.
4. 5^2 x 5^3 = 25 x 125 = 3125, which is equal to 5^6 = 15625. So, the expression 5^2 x 5^3 = 5^6 is false.
Therefore, the correct choice is (1) 2^4 x 2^4 > 2^7.
Which of the following expressions is true?
1. 2^4 x 2^4 > 2^7
2. 3^2 x 3^6 = 3^7
3. 4^3 x 4^5 < 4^8
4. 5^2 x 5^3 = 5^6
1 answer