Question

3. Decide if the expressions have the same value. If not, determine which expression has the larger value. a. 2³ and 3^2 b. 131 and 31¹

c. 4² and 2^4
d. (1/2)³ and (1/3) ²​

Answer 1

D

Explanation:

a. 2³ and 3^2

2³ = 222 = 8

3^2 = 3*3 = 9

The expression 3^2 is greater than 2³

b. 131 and 31¹

131 = 131 and 31¹ = 31

The expression 131 is equal to 31¹

c. 4² and 2^4

4² = 44 = 16

2^4 = 2222 = 16

The expressions 4² and 2^4 have the same value.

d. (1/2)³ and (1/3) ²

(1/2)³ = (1/2)(1/2)(1/2) = 1/(222) = 1/8

(1/3) ² = (1/3)(1/3) = 1/(33) = 1/9

The expression (1/3) ² is greater than (1/2)³