Answer + Step-by-step explanation:
[tex]\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5[/tex]
[tex]\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}[/tex]
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[tex](4^8)^3 = a^{8 \times 3}=a^{24}[/tex]
[tex]\text{used property :} \ \ \ (a^n)^m = a^{n \times m}[/tex]
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[tex]10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}[/tex]
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15⁶ × 15³ = 15⁶⁺³ = 15⁹
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Recall : If a ≠0 ⇒ a⁰ = 1
Then
Since 6⁸ ≠ 0 ⇒ (6⁸)⁰ = 1
