Laws of Indices (Same Base, Same Indices)

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  • (0:01) What are Laws of Indices?: Laws of Indices are rules that simplify calculations involving powers of numbers. 
  • (0:21) Multiplying Indices with Same Base: For multiplication, add the indices (amΓ—an=am+n). For example, 23Γ—24=23+4=27.
  • (1:10) Dividing Indices with Same Base: For division, subtract the indices ( amΓ·an=amβˆ’n). For example, 45Γ·43=45βˆ’3=42.
  • (2:02) Multiplying Indices with Same Index: For multiplication, multiply the bases and keep the index (amΓ—bm=(aΓ—b)m). For example, 23Γ—53=(2Γ—5)3=103.
  • (2:56) Dividing Indices with Same Index: For division, divide the bases and keep the index (ambm=(ab)m). For example,  6535=(63)5=25.

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Laws of Indices (Same Base or Same Indices)

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Q: What is 23Γ—24 ?

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Q: What is 45Γ·43 ?

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Q: What is 105Γ·102 ?

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Q: Simplify 0.25Γ—55.

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Q: Simplify 54Γ·56.

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Q: What is 24Γ—22Γ—23

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