bonjour
84.
a.
[tex]\frac{2^8*2^{-5} }{2^{-10}} = \frac{2^{8-5} }{2^{-10} }\\\\\frac{2^8*2^{-5} }{2^{-10}} = \frac{2^{3} }{2^{-10} } \\\\\frac{2^8*2^{-5} }{2^{-10}} = 2^{3-(-10)} \\\frac{2^8*2^{-5} }{2^{-10}} = 2^{13} \\\\b.\\\frac{(2^3)^{5} }{2 } \\\\\frac{(2^3)^{5} }{2}= \frac{2^{3*5} }{2} \\\\\frac{(2^3)^{5} }{2}=2^{15-1} =2^{14}[/tex]
85
a.
16×2⁹ = 2⁴×2⁹
= 2⁴⁺⁹
= 2¹³
b.
64/2⁹ = 2⁶/2⁹
= 2⁶⁻⁹
= 2⁻³
86.
a.
1024¹⁰⁰ = (2¹⁰)¹⁰⁰
= 2¹⁰ˣ¹⁰⁰=2¹⁰⁰⁰
b.
4⁶/2⁴ = (2²)⁶/2⁴
= 2¹²⁻⁴
= 2⁸
87
a.
81×(1/3)⁵ = 3⁴ × 1/(3⁵)
= 3⁴×3⁻⁵
= 3⁻¹
b.
[tex]\frac{27^5*3^6}{9^8} = \frac{3^3*3^6}{(3^2)^8}\\\\\frac{27^5*3^6}{9^8} =\frac{3^9}{3^{16}} \\\\\frac{27^5*3^6}{9^8} =3^{9-16} \\\\\frac{27^5*3^6}{9^8} =3^{-7} \\\\[/tex]
88.
a.
(aⁿ⁺¹)² = a²⁽ⁿ⁺¹⁾=a²ⁿ⁺²
b.
a⁴/(a³)ⁿ = a⁴⁻³ⁿ
c.
(1/a)ⁿ×a = a⁻ⁿ×a = a⁻ⁿ⁺¹
