Como calcular 2 X 2 X 2 X 3 X 3 X 3 X 5 X 5 X 5?
O ChatGPT disse:
ChatGPT
Para calcular
2
×
2
×
2
×
3
×
3
×
3
×
5
×
5
×
5
2×2×2×3×3×3×5×5×5, siga estas etapas:
Agrupe os fatores iguais:
(
2
×
2
×
2
)
×
(
3
×
3
×
3
)
×
(
5
×
5
×
5
)
(2×2×2)×(3×3×3)×(5×5×5)
Use a regra da potência (
𝑎
×
𝑎
×
𝑎
=
𝑎
𝑛
a×a×a=a
n
):
2
3
×
3
3
×
5
3
2
3
×3
3
×5
3
Calcule cada potência:
2
3
=
8
,
3
3
=
27
,
5
3
=
125
2
3
=8,3
3
=27,5
3
=125
Multiplique os resultados:
8
×
27
=
216
,
216
×
125
=
27
,
000
8×27=216,216×125=27,000
Resultado final:
27
,
000
27,000.
Factor them. 3 x 3 x 5 = 45 2 x 2 x 2 x 2 x 2 x 5 x 5 = 800 Combine the factors, eliminating duplicates. 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 7200, the LCM
Example: 30 and 42 Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Combine the factors, eliminating duplicates. 2 x 3 x 5 x 7 = 210, the LCM
2 x 5 x 5 x 5 = 250 2 x 2 x 3 x 3 x 3 x 3 = 324 2 x 2 x 2 x 3 x 3 = 72 2 x 2 x 3 x 13 = 156 3 x 37 = 111 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128 5 x 5 x 5 x 5 = 625 2 x 5 x 5 x 11 = 550 3 x 3 x 3 x 3 x 5 = 405 3 x 3 x 3 x 3 x 3 = 243 2 x 2 x 5 x 5 x 5 = 500 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
Example: 30 and 42 Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Combine the factors, eliminating duplicates. 2 x 3 x 5 x 7 = 210, the LCM
The prime factors of 120 are 2 x 2 x 2 x 3 x 5 or 2^3 x 3 x 52 x 2 x 2 x 3 x 52 x 2 x 2 x 3 x 5 = 1202 x 2 x 2 x 3 x 5 = 120
Example: 30 and 42Factor them.2 x 3 x 5 = 302 x 3 x 7 = 42Select the common factors.2 x 3 = 6, the GCF
3,000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 OR 2^3 x 3 x 5^3
Factor them. 3 x 3 = 9 5 x 5 = 25 2 x 2 x 2 x 3 x 5 = 120 Combine the highest amount of each prime factor. 2 x 2 x 2 x 3 x 3 x 5 x 5 = 1800, the LCM
Example: 30 and 42 Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Combine the factors, eliminating duplicates. 2 x 3 x 5 x 7 = 210, the LCM
For 45: 3 x 3 x 5For 54: 2 x 3 x 3 x 3
In mathematics.1 x 1 x 1 = 12 x 2 x 2 = 83 x 3 x 3 = 274 x 4 x 4 = 645 x 5 x 5 = 1256 x 6 x 6 = 216
2 x 2 x 3 x 5 x 5 3 x 4 x 5 x 5 2 x 5 x 5 x 6 2 x 2 x 3 x 25 2 x 2 x 5 x 15 2 x 3 x 5 x 10 2 x 2 x 75 5 x 6 x 10 3 x 5 x 20 5 x 5 x 12 2 x 3 x 50 2 x 5 x 30 3 x 4 x 25