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

Answer:

The answer is D.

Step-by-step 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