Question

Which expression has a value of 3?

a. 3(4 *to the power of 2* - 3*to the power of 2*)
b. 24-23 x 3
c. 3*to the power of 3* - 3*to the power of 2
d. (6*to the power of 2* - 3) (9*to the power of 2* - 70)​

Answer 1

Explanation:

3(4 *to the power of 2* - 3*to the power of 2*)

• 3(4²-3²)
• 3(16-9)
• 3(7)
• 21

24-23 x 3

• 24-23×3
• 24-69
• -45

3*to the power of 3* - 3*to the power of 2

• 3³-3²
• 9-6
• 3

(6*to the power of 2* - 3) (9*to the power of 2* - 70)

• (6²-3)(9²-70)
• (36-3)(81-70)
• (33)(11)
• 363

Hence, Option d. is the correct answer because it gives answer 3 when it is solved.