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4 years ago

Which expression is equivalent to j (j) (j) (j) (j) (j) (j) (j) (j) (j) (j) (j) (j)?

Mathematics

1 answer:

Ahat [919]4 years ago

3 0

Answer:

j^13

Step-by-step explanation:

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How do you do this. Please give a full answer and explain why.

OverLord2011 [107]

Law of Exponent

$\displaystyle \large{ {a}^{ - n} = \frac{1}{ {a}^{n} } }$

Compare the terms.

$\displaystyle \large{ {a}^{ - n} = {( - 2)}^{ - 3} }$

Therefore, a = -2 and n = 3. From the law of exponent above, we receive:

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ {( - 2)}^{ 3} } }$

Exponent Def. (For cubic)

$\displaystyle \large{ {a}^{3} = a \times a \times a }$

Factor (-2)^3 out.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}$

(-2) • (-2) = 4 | Negative × Negative = Positive.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{4 \times ( - 2)}}$

4 • (-2) = -8 | Negative Multiply Positive = Negative.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ - 8}}$

If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.

Hence,

$\displaystyle \large \boxed{ {( - 2)}^{ - 3} = - \frac{1}{ 8}}$

The answer is - 1 / 8

3 0

3 years ago

3 examples of proportion in real life ?

mars1129 [50]

Answer:

Proportion of games an NFL team wins.

Proportion of defective products in a shipment.

Proportion of voters of a certain candidate in an election.

Step-by-step explanation:

Proportion is a relationship between measures.

Examples in real life are:

Proportion of games an NFL team wins.

For example, this past regular season, the Buffalo Bills won 13 games out of 16, so the proportion of games won by the Bills is 13/16 = 0.8125.

Other possible examples are:

Proportion of defective products in a shipment.

Proportion of voters of a certain candidate in an election.

...

7 0

3 years ago

Convert 5820 grams to kilograms.

mr_godi [17]

5.82 Kg

because 1Kg= 1000g

5 0

3 years ago

What is the equation of the line that passes through the points (−2,4) and (0,3)?

11Alexandr11 [23.1K]

Answer:

y=-1/2x+3

Step-by-step explanation:

5 0

3 years ago

Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet,

Ivan

Answer:

15 feet

Step-by-step explanation:

Quadrilateral ABCD has a scale facter of 2.5 over the quadrilateral EFGH. The order of ABCD is 60, 40, 30, and x, EFGH has y, z, 12, and 6.

6 times the scale factor of 2.5 is 15, the answer.

7 0

4 years ago