Question

Math homework help exponents

Answer 1

Answer + Step-by-step explanation:

$\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5$

$\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}$

_______________________

$(4^8)^3 = a^{8 \times 3}=a^{24}$

$\text{used property :} \ \ \ (a^n)^m = a^{n \times m}$

_______________________

$10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}$

_______________________

15⁶ × 15³ = 15⁶⁺³ = 15⁹

_______________________

Recall : If a ≠0  ⇒ a⁰ = 1

Then

Since 6⁸ ≠ 0  ⇒ (6⁸)⁰ = 1