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zysi [14]
3 years ago
10

How is the quotient 5 to the 8th power expressed as a power of 5

Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer:

5^4

Step-by-step explanation:

When dividing exponents with the same base, you subtract their exponents.

8-4=4

This means that 5^8 / 5^4 is equal to:

5^4

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iogann1982 [59]
In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.

The least common denominator of 3 and 4 is 12.  This means that we have to change both fractions into equal fractions with denominators of 12.

To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions.  We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8

Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.

If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.

Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school.  Because they have the same denominator, we can just compare the numerators.  We know that 8 is greater than 6, thus Luis skates farther to get to school.

3 0
2 years ago
Find the common ratio 27,9,3,1,1/3
LenKa [72]

Answer:

1/3

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

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Check by dividing the third term by the second

3/9 = 1/3

and so forth

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etc

The common ratio is 1/3

8 0
3 years ago
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3 years ago
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Carl's two checked bags have equal weight so both their weight can be denoted as 2w.

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