Powers and Roots — Dynamic Practice
Powers and Roots — Dynamic Practice. Practice questions to deepen understanding of powers and roots. Interactive math practice with instant feedback.
Dynamic practice in the laws of powers and roots — simplification, products, quotients, basic exponent rules. New questions every attempt.
Question 1
12.50 pts
🔢 Powers:
Calculate:
\(13^{3} = ?\)
Calculate:
\(13^{3} = ?\)
Explanation:
Solution - Powers:
Definition: 13^3 means multiplying 13 by itself 3 times.
Calculate:
\(13^{3} = 13 \times 13 \times 13 = 2197\)
Answer: 2197
Definition: 13^3 means multiplying 13 by itself 3 times.
Calculate:
\(13^{3} = 13 \times 13 \times 13 = 2197\)
Answer: 2197
Question 2
12.50 pts
🔢 Powers:
Calculate:
\(11^{3} = ?\)
Calculate:
\(11^{3} = ?\)
Explanation:
Solution - Powers:
Definition: 11^3 means multiplying 11 by itself 3 times.
Calculate:
\(11^{3} = 11 \times 11 \times 11 = 1331\)
Answer: 1331
Definition: 11^3 means multiplying 11 by itself 3 times.
Calculate:
\(11^{3} = 11 \times 11 \times 11 = 1331\)
Answer: 1331
Question 3
12.50 pts
🔢 Powers:
Calculate:
\(5^{2} = ?\)
Calculate:
\(5^{2} = ?\)
Explanation:
Solution - Powers:
Definition: 5^2 means multiplying 5 by itself 2 times.
Calculate:
\(5^{2} = 5 \times 5 = 25\)
Answer: 25
Definition: 5^2 means multiplying 5 by itself 2 times.
Calculate:
\(5^{2} = 5 \times 5 = 25\)
Answer: 25
Question 4
12.50 pts
🔢 Powers:
Calculate:
\(10^{2} = ?\)
Calculate:
\(10^{2} = ?\)
Explanation:
Solution - Powers:
Definition: 10^2 means multiplying 10 by itself 2 times.
Calculate:
\(10^{2} = 10 \times 10 = 100\)
Answer: 100
Definition: 10^2 means multiplying 10 by itself 2 times.
Calculate:
\(10^{2} = 10 \times 10 = 100\)
Answer: 100
Question 5
12.50 pts
🔢 Powers:
Calculate:
\(19^{5} = ?\)
Calculate:
\(19^{5} = ?\)
Explanation:
Solution - Powers:
Definition: 19^5 means multiplying 19 by itself 5 times.
Calculate:
\(19^{5} = 19 \times 19 \times 19 \times 19 \times 19 = 2476099\)
Answer: 2476099
Definition: 19^5 means multiplying 19 by itself 5 times.
Calculate:
\(19^{5} = 19 \times 19 \times 19 \times 19 \times 19 = 2476099\)
Answer: 2476099
Question 6
12.50 pts
🔢 Powers:
Calculate:
\(14^{4} = ?\)
Calculate:
\(14^{4} = ?\)
Explanation:
Solution - Powers:
Definition: 14^4 means multiplying 14 by itself 4 times.
Calculate:
\(14^{4} = 14 \times 14 \times 14 \times 14 = 38416\)
Answer: 38416
Definition: 14^4 means multiplying 14 by itself 4 times.
Calculate:
\(14^{4} = 14 \times 14 \times 14 \times 14 = 38416\)
Answer: 38416
Question 7
12.50 pts
🔢 Powers:
Calculate:
\(5^{3} = ?\)
Calculate:
\(5^{3} = ?\)
Explanation:
Solution - Powers:
Definition: 5^3 means multiplying 5 by itself 3 times.
Calculate:
\(5^{3} = 5 \times 5 \times 5 = 125\)
Answer: 125
Definition: 5^3 means multiplying 5 by itself 3 times.
Calculate:
\(5^{3} = 5 \times 5 \times 5 = 125\)
Answer: 125
Question 8
12.50 pts
🔢 Powers:
Calculate:
\(6^{6} = ?\)
Calculate:
\(6^{6} = ?\)
Explanation:
Solution - Powers:
Definition: 6^6 means multiplying 6 by itself 6 times.
Calculate:
\(6^{6} = 6 \times 6 \times 6 \times 6 \times 6 \times 6 = 46656\)
Answer: 46656
Definition: 6^6 means multiplying 6 by itself 6 times.
Calculate:
\(6^{6} = 6 \times 6 \times 6 \times 6 \times 6 \times 6 = 46656\)
Answer: 46656