Question

21,639 Learners found this answer helpful

for problems 16–19, use your knowledge of squares and cubes to fill in the boxes. 16. $6^2 = \square$ 17. $6^{\square} = 216$ 18. $\square^3 = 125$ 19. $\square^2 = 16$

Explanation:

Step1: Calculate 6 squared

$6^2 = 6 \times 6 = 36$

Step2: Find exponent for 6 to get 216

$6^3 = 6 \times 6 \times 6 = 216$, so exponent is 3

Step3: Find base for cube =125

$5^3 = 5 \times 5 \times 5 = 125$, so base is 5

Step4: Find base for square=16

$4^2 = 4 \times 4 = 16$, so base is 4

Answer:

1. 36
2. 3
3. 5
4. 4