Factors of 36, 1,2,3,4,6,9,12,18,36
Factors of 45- 1,3,5,9,15,45
The common factors or 36 and 45 are 1, 3 and 9.
Factors of 24- 1,2,3,4,6,8,12,24
Factors or 54- 1,2,3,6,9,18,27,54
The common factors of 24 and 54 are 1,2,3 and 6
Hope this helps
Scale factor is 4
20/5=4
5*4=20
Answer:
It is terminating decimal expansion.
Step-by-step explanation:
17/3125 is a terminating decimal expansion.
REASON:
If the factors of the denominator are in the form of 2^n 5^m then the rational number is a terminating decimal expansion otherwise it is recurring. Here n and m are non negative integers.
Proof:
Lets have a look on the solution of the given term.
17/1325
We will break the denominator in the factors:
If we multiply 5 five times than it will give us 1325.
17/1325 = 17/5^5 * 2^0 = 17/2^0 * 5^5
We know that any number with exponent zero = 1
∴ 2^0 = 1
So it satisfies our explanation that the factors of the denominator are in the form of 2^n * 5^m and n and m are non negative integers.
Thus this term has a terminating decimal expansion....
The expression is given to be:
Recall the multiplication rule of exponent given to be:
Therefore, we can simplify the numerator to be:
Hence, the expression becomes:
Recall the division rule of exponent given to be:
Therefore, the expression becomes:
Evaluating the answer, we have:
Therefore, the answer is:
Answer:
Step-by-step explanation:
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