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Laws of Indices (Same Base, Same Indices)

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  • (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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Laws of Indices (Same Base or Same Indices)

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

2 / 6

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

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

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

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

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

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