Odpowiedź:
zad 8
zamiast potęgi m zastosowałem potęgę b (przy pisaniu zastąp b na m)
a)
(2¹⁰ * 2⁵ * 7⁴)² = 2ᵇ * 7ⁿ
(2¹⁰⁺⁵ * 7⁴)² = 2ᵇ * 7ⁿ
(2¹⁵ * 7⁴)² = 2ᵇ * 7ⁿ
(2¹⁵)² * (7⁴)² = 2ᵇ * 7ⁿ
2³⁰ * 7⁸ = 2ᵇ * 7ⁿ
b = m = 30 , n = 8
b)
(3⁴ * 5⁷)³/5⁹ = 3ᵇ * 5ⁿ
3¹² * 5²¹/5⁹ = 3ᵇ* 5ⁿ
3¹² * 5²¹⁻⁹ = 3ᵇ * 5ⁿ
3¹² * 5¹² = 3ᵇ * 5ⁿ
b = m = 12 , n = 12
c)
4 * (2³/3⁴)¹⁰ = 2ᵇ/3ⁿ
2² * 2³⁰/3⁴⁰ = 2ᵇ/3ⁿ
2²⁺³⁰/3⁴⁰ = 2ᵇ/3ⁿ
2³²/3⁴⁰ = 2ᵇ/3ⁿ
b = m = 32 , n = 40
d)
(7³/5²)³ * (5³/7⁵)⁴ = 5ᵇ/7ⁿ
7⁹/5⁶ * 5¹²/7²⁰ = 5ᵇ/7ⁿ
7⁹/7²⁰ * 5¹²/5⁶ = 5ᵇ/7ⁿ
7⁹⁻²⁰ * 5¹²⁻⁶ = 5ᵇ/7ⁿ
7⁻¹¹ * 5⁶ = 5ᵇ/7ⁿ
5⁶/7¹¹ = 5ᵇ/7ⁿ
b = m = 6 , n = 11
