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

Which of the following expressions is true?
a)2^4 x 2^3 = 2^12
b)3^3 x 3^6 > 3^8
c)4^2 x 4^2 > 4^4
d)5^2 x 5^2 = 5^10

Which one is correct?
6^2 x 6^5 = 36 ^7 *My answer*
6^2 x 6^5 = 6^10
6^2 x 6^5 = 6^7

I don't get how to do these and I have no clue if I got the last one correct, can someone please help me on how to find out?

You did not get the last one correct. The last one would be the 3rd one because if you simplify it it would equal 6^7 just simplify every one and you can figure out what it equals. So like the second one would be d and the the first would be B.

To determine which of the given expressions is true, we need to understand the properties of exponents and how they behave during multiplication.

1) A) 4^3 x 4^4 = 4^12
To multiply two values with the same base, we add the exponents. In this case, 4^3 x 4^4 would be equal to 4^(3 + 4) = 4^7. Therefore, A) 4^3 x 4^4 = 4^12 is false.

2) B) 5^2 x 5^3 > 5^5
Again, using the rule of adding exponents, 5^2 x 5^3 would simplify to 5^(2 + 3) = 5^5. So the expression becomes 5^5 > 5^5, which is false. Thus, B) 5^2 x 5^3 > 5^5 is false.

3) C) 3^2 x 3^5 = 3^10
Following the same exponent rule, 3^2 x 3^5 would be equal to 3^(2 + 5) = 3^7. Therefore, C) 3^2 x 3^5 = 3^10 is false.

4) D) 5^2 x 5^4 < 5^8
Using the rule of addition, 5^2 x 5^4 simplifies to 5^(2 + 4) = 5^6. So the expression becomes 5^6 < 5^8, which is true. Hence, D) 5^2 x 5^4 < 5^8 is true.

In the second set of expressions:

a) 2^4 x 2^3 = 2^7, which is not equal to 2^12. So a) 2^4 x 2^3 = 2^12 is false.

b) 3^3 x 3^6 = 3^9, which is not greater than 3^8. Hence, b) 3^3 x 3^6 > 3^8 is false.

c) 4^2 x 4^2 = 4^4, which is not greater than 4^4. Therefore, c) 4^2 x 4^2 > 4^4 is false.

d) 5^2 x 5^2 = 5^4, which is not equal to 5^10. Thus, d) 5^2 x 5^2 = 5^10 is false.

Regarding the last question:
6^2 x 6^5 = 6^(2 + 5) = 6^7.
However, 36^7 is not equal to 6^7. So the statement 6^2 x 6^5 = 36^7 is false.

Therefore, based on the given options, none of the expressions are true.