Laws of Indices (Same Base, Same Indices)

🎬 Video Tutorial

(0:21) Laws for Same Base: For multiplication, add the indices (e.g., $2^3 \times 2^4 = 2^7$). For division, subtract the indices (e.g., $4^5 \div 4^3 = 4^2$).
(2:03) Laws for Same Index: For multiplication, multiply the bases and keep the index (e.g., $2^3 \times 5^3 = 10^3$). For division, divide the bases and keep the index (e.g., $6^5 \div 3^5 = 2^5$).

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📂 Revision Cards

Laws of indices chart showing rules for multiplying and dividing powers with the same base and same index, with examples for both operations. — 1) Law of Indices

🍪 Quiz

Laws of Indices (Same Base or Same Indices)

1 / 6

Q: What is $2^3 \times 2^4$?

$2^7$

$2^{12}$

$2^8$

$2^6$

2 / 6

Q: What is $4^5 \div 4^3$?

$4^2$

$4^{15}$

$4^8$

$4^3$

3 / 6

Q: What is $10^5 \div 10^2$?

$10^3$

$10^1$

$10^2$

$10^2.5$

4 / 6

Q: Simplify $0.2^5 \times 5^5$.

$(0.2 \times 5)^5$

$5$

$0.1^5$

$1$

5 / 6

Q: Simplify $5^4 \div 5^6$.

$5^2$

$5^{-2}$

$5^0$

$5^{-3}$

6 / 6

Q: What is $2^4 \times 2^2 \times 2^3$?

$2^7$

$2^9$

$2^8$

$2^{10}$

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