2. Explain each of their following
product of their prime factors in expontial
foom:
72X192
Answers
Answered by
1
Step-by-step explanation:
Resolving 108 and 192 into product of prime factors,we get
2| 108
______
2| 54
______
3| 27
______
3| 9
______
** 3
108 = 2² × 3³
2| 192
______
2| 96
______
2| 48
______
2| 24
______
2| 12
______
2| 6
______
*** 3
192 = 2^{6}\times 3^{1}
Now, \\Product \: of \: 108 \times 192 \\= 2^{2}\times 3^{3}\times 2^{6}\times 3^{1}\\=2^{2+6}\times 3^{3+1}
By\: Exponential\: Law :\\\boxed {a^{m}\times a^{n} = a^{m+n}}
= 2^{8}\times 3^{4}
Therefore,
Product \: of \: 108 \times 192 =2^{8}\times 3^{4}
Answered by
0
Answer:
sorry
Step-by-step explanation:
I don't understand
Similar questions