Question

Which of the following expressions is true?

A. 8^3 • 8^2 < 8^4
B. 4^4 • 4^4 = 4^16
C. 2^2 • 2^6 < 2^8
D 3^3 • 3^3 > 3^5​

Answer 1

The answer is D.

Explanation:

A. 8^3 x 8^2 < 8^4

8^3 = 512 8^2 = 64 512 x 64 = 32768

8^4 = 4096 32,768 < 4096 is NOT true

B. 4^4 x 4^4 = 4^16

4^4 = 256 256 x 256 = 65536

4^16 = 4294967296

256 = 4294967296 is NOT true

C. 2^2 • 2^6 < 2^8

2^2 = 4 2^6 = 64 64*4 = 256

2^8 = 256 256 < 256 is NOT true

D. 3^3 • 3^3 > 3^5​

3^3 = 27 27*27 = 729

3^5 = 243

729 > 243 IS true