Which of the following expressions is true?

Question

A) 5^2∙5^3=5^6

B) 4^2∙4^3<4^5

C) 3^6∙3^4>3^9

D)2^3∙2^4=4^7

Answer 1

A) 5^2∙5^3=5^6 is true since when multiplying powers with the same base, you add their exponents. So 5^2∙5^3 = 5^(2+3) = 5^5, which is equivalent to 5^6/5.