Zadania w załączniku
Oblicz wartość bezwzględną wyrażenia 3 przykłady
Zadanie 5
Proszę o szybka odpowiedź
W tym zadaniu korzystamy z własności działań na potęgach:
a).
(1/2)⁻² ·(2/5)⁻² -3⁻⁴ : 9⁻⁴ = (1/2 · 2/5)⁻² -(3:9)⁻⁴ = (1/5)⁻² -(1/3)⁻⁴ = 5² - 3⁴ =
= 25-81 = -56
| -56 | = 56
b).
(0,02)⁻² :(0,2)⁻² +3⁻⁵ · (1/3)⁻⁵ = (0,02:0,2)⁻² +(3 · 1/3)⁻⁵ = 0,1⁻²+1⁻⁵ =
= (1/10)⁻² +1 = 10² +1 = 100+1 = 101
|101| = 101
c).
(-4)⁻² · (0,75)⁻² · (1/3)⁻² -[(-7)⁻¹ : 49⁻¹] :(-2)⁻¹ = (-4·0,75·1/3)⁻² -[(-7:49)⁻¹] :(-2)⁻¹=
= (-3·1/3)⁻² -(-1/7)⁻¹ :(-2)⁻¹ = (-1)⁻² -[-1/7:(-2)]⁻¹ = (-1) ²-[-1/7·(-1/2)]⁻¹ = 1-(1/14)⁻¹ =
= 1-14= -13
|-13| = 13
Temat: działania na potęgach
Poziom: gimnazjum
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(1/2)⁻² ·(2/5)⁻² -3⁻⁴ : 9⁻⁴ = (1/2 · 2/5)⁻² -(3:9)⁻⁴ = (1/5)⁻² -(1/3)⁻⁴ = 5² - 3⁴ =
= 25-81 = -56
| -56 | = 56
b).
(0,02)⁻² :(0,2)⁻² +3⁻⁵ · (1/3)⁻⁵ = (0,02:0,2)⁻² +(3 · 1/3)⁻⁵ = 0,1⁻²+1⁻⁵ =
= (1/10)⁻² +1 = 10² +1 = 100+1 = 101
|101| = 101
c).
(-4)⁻² · (0,75)⁻² · (1/3)⁻² -[(-7)⁻¹ : 49⁻¹] :(-2)⁻¹ = (4·0,75·1/3)⁻² -[(7:49)⁻¹] :(-2)⁻¹=
= (3·1/3)⁻² -(1/7)⁻¹ :(-2)⁻¹ = 1⁻² -[1/7:(-2)]⁻¹ = 1-[1/7·(-1/2)]⁻¹ = 1-(1/14)⁻¹ =
= 1-14= -13
|-13| = 13
W tym zadaniu korzystamy z własności działań na potęgach:
a).
(1/2)⁻² ·(2/5)⁻² -3⁻⁴ : 9⁻⁴ = (1/2 · 2/5)⁻² -(3:9)⁻⁴ = (1/5)⁻² -(1/3)⁻⁴ = 5² - 3⁴ =
= 25-81 = -56
| -56 | = 56
b).
(0,02)⁻² :(0,2)⁻² +3⁻⁵ · (1/3)⁻⁵ = (0,02:0,2)⁻² +(3 · 1/3)⁻⁵ = 0,1⁻²+1⁻⁵ =
= (1/10)⁻² +1 = 10² +1 = 100+1 = 101
|101| = 101
c).
(-4)⁻² · (0,75)⁻² · (1/3)⁻² -[(-7)⁻¹ : 49⁻¹] :(-2)⁻¹ = (-4·0,75·1/3)⁻² -[(-7:49)⁻¹] :(-2)⁻¹=
= (-3·1/3)⁻² -(-1/7)⁻¹ :(-2)⁻¹ = (-1)⁻² -[-1/7:(-2)]⁻¹ = (-1) ²-[-1/7·(-1/2)]⁻¹ = 1-(1/14)⁻¹ =
= 1-14= -13
|-13| = 13
Temat: działania na potęgach
Poziom: gimnazjum