Answer:
b
Step-by-step explanation:
Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are


From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.
Answer:
- <u><em>1. x = - 3</em></u>
- <u><em>2. y = -9</em></u>
<u><em></em></u>
Explanation:
The expressions are garbled. The correct expressions to determine the product of powers are:
1. What is the value of x in the product of powers
?
2. What is the value of y in the product of
?
3. What is the value of n in th product of
?
<h2>Solutions</h2>
<u />
<u>1. What is the value of x in the product of powers </u>
<u> ?</u>
Apply the rule of the <em>product of powers with the same base</em> to the left side of the equality.
The product of two powers with the same base is the base raised to the sum of the exponent:

Now the power on the left side has the same base as the power on the right side, so the exponents are the same:
<u />
<u>2. What is the value of y in the product of </u>
<u> ?</u>
Again, the product of the two powers on the left side is equal to the common base raised to the sum of the exponents:
On the left side, you get:

Then,

3. What is the value of n in th product of
?
Same rule:
Left side:

Left side equal to right side:

.85 is in the hundredths place so your fraction will be 85/100 then you divide it by 5 and get 17/20 as your answer. Hope this helps