Question

Math homework help exponents

Answer 1

Answer + Step-by-step explanation:

`(5^(10))/(5^(5)) =5^(10-5) = 5^5`

`\text{used property :} \ \ \ (a^(m))/(a^(n)) =a^(m-n)`

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`(4^8)^3 = a^(8 * 3)=a^(24)`

`\text{used property :} \ \ \ (a^n)^m = a^(n * m)`

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`10^(-4)=(1)/(10^(4)) \ \text{not} \ (1)/(4^(10))`

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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