Question

use your understanding of exponents to answer the questions below.

1. which of the following does not represent the value 216?

a. 36 · 6
b. 63
c. 36
d. 6 · 6 · 6

1. which of the following does not represent 32 · 44?

a. 9 · 256
b. 3 · 3 · 4 · 4 · 4 · 4
c. 76
d. 2,304

1. tensley solved three different problems on her math test. circle the problem she solved incorrectly. explain her error and find the correct answer.

simplify 83
8 · 8 · 8
512
simplify 13 · 52
3 · 25
75
simplify 53 · 7
125 · 7
875

Explanation:

Step1: Calculate each option for question 6

• Option A: \(36\times6 = 216\)
• Option B: \(63

eq216\)

• Option C: \(3^{6}=3\times3\times3\times3\times3\times3 = 729

eq216\)

• Option D: \(6\times6\times6=216\)

Step2: Calculate each option for question 7

• Option A: \(9\times256 = 2304\)
• Option B: \(3\times3\times4\times4\times4\times4=9\times256 = 2304\)
• Option C: \(7^{6}=7\times7\times7\times7\times7\times7 = 117649

eq2304\)

• Option D: \(32\times4^{4}=32\times256 = 2304\)

Answer:

1. B. 63, C. \(3^{6}\)
2. C. \(7^{6}\)