Which of the following expressions is true?
A) 4^3 x 4^4 = 4^12
B) 5^2 x 5^3 >5^5
C) 3^2 x 3^5 =3^10
D) 5^2 x 5^4 <5^8
B) 5^2 x 5^3 >5^5
To determine which of the following expressions is true, we can simplify the exponential expressions and compare the results.
A) 4^3 x 4^4 = 4^7 (adding the exponents)
4^7 is not equal to 4^12, so A) is not true.
B) 5^2 x 5^3 = 5^5
5^5 is equal to 5^5, so B) is true.
C) 3^2 x 3^5 = 3^7 (adding the exponents)
3^7 is not equal to 3^10, so C) is not true.
D) 5^2 x 5^4 = 5^6
5^6 is less than 5^8, so D) is true.
So, the expressions that are true are B) 5^2 x 5^3 >5^5 and D) 5^2 x 5^4 <5^8.