Which of the following expressions is true?
A) 5^2∙5^2=5^10
B) 4^2∙4^2>4^4
C)3^3∙3^6>3^8
D)2^3∙2^4=2^12
B) 4^2∙4^2>4^4
To determine which expression is true, let's simplify each expression and compare them.
A) 5^2 * 5^2 = 25 * 25 = 625
5^10 = 976,5625
Since 625 is not equal to 976,5625, expression A is false.
B) 4^2 * 4^2 = 16 * 16 = 256
4^4 = 256
Since 256 is equal to 256, expression B is true.
C) 3^3 * 3^6 = 27 * 729 = 19,683
3^8 = 6,561
Since 19,683 is larger than 6,561, expression C is true.
D) 2^3 * 2^4 = 8 * 16 = 128
2^12 = 4,096
Since 128 is not equal to 4,096, expression D is false.
Therefore, the correct answer is expression B) 4^2 * 4^2 > 4^4.