Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\frac{1}{a^{m}}=a^{-m}[/tex]
[tex]1) \frac{4^{5}}{4^{9}}=4^{5-9}=4^{-4}\\\\2)\frac{1}{5^{3}}=5^{-3}\\\\3)\frac{1}{10^{5}}=10^{-5}\\\\[/tex]
4) 2⁵ ÷ 2¹⁰ = 2⁵ ⁻ ¹⁰ = 2⁻⁵
5)10¹⁰ ÷ 10²⁰ = 10¹⁰⁻²⁰ = 10 ⁻¹⁰
[tex]6) \frac{1}{10^{23}}=10^{-23}\\\\7) \frac{1}{15^{2}}=15^{-2}\\[/tex]
8) 14³ ÷ 14⁵ = 14³ ⁻⁵ = 14⁻²
[tex]9) \frac{203^{3}}{203^{7}}=203^{3-7}=203^{-4}\\[/tex]
10) 5280² ÷5280³ = 5280³ ⁻² = 5280⁻¹
