Question

Evaluate the following to determine the value of n:


(4^3)^n = 4^15

(2 points)
Responses

n = 12
n = 12

n = 5
n = 5

n = 4
n = 4

n = 11
n = 11
Question 10
Savannah ran 3 laps in 12 minutes. How long would it take her to run 5 laps at this pace?(2 points)
Responses

18 minutes
18 minutes

15 minutes
15 minutes

20 minutes
20 minutes

28 minutes

Answer 1

1) (4^3)^n = 4^15 → 4^{3n} = 4^{15} ⇒ 3n = 15 ⇒ n = 5.

2) 12 minutes ÷ 3 laps = 4 min/lap. For 5 laps: 5 × 4 = 20 minutes.