Question

Which of the following expressions is true?

4^3 . 4^4 = 4^12

5^2 . 5^3 > 5^5

3^2 . 3^5 = 3^10

5^2 . 5^4 < 5^8

Answer 1

The last one is true.

When multiplying exponents with the same base, add the exponents together.

a) 4^3 . 4^4 = 4^7

b) 5^2 . 5^3 = 5^5

c) 3^2 . 3^5 = 3^7

d) 5^2 . 5^4 = 5^6

Based on this knowledge, a is false as 4^7 does not equal 4^12. B is false as 5^5 equals 5^5, and is not greater than it. C is false because 3^7 does not equal 3^10.

The last one is correct because 5^6 is less than 5^8.