Simplify the expression so there is only one positive power for the base, -5........ -5^7/-5^2

Mathematics

1 answer:

ELEN [110]2 years ago

3 0

-5^7/-5^2=5^7/5^2= 5^(7-2)=5^5 this is the answer

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Seven people are in an elevator which stops at ten floors. In how many ways can they get off the elevator?

zlopas [31]

The number of ways people can get off the elevator is 604800 ways.

In this question,

Number of people, n = 7

Number of floors, r = 10

The first person can leave elevator in one of 10 ways. Then second person has to choose from one of remaining 9 floors. Then third person in 8, fourth in 7 ways and so on.

Number of ways people can get off the elevator can be calculated as

⇒ $nP_r=\frac{n!}{(n-r)!}$

⇒ $10P_{7}=\frac{10!}{(10-7)!}$

⇒ $10P_{7}=\frac{10!}{(3)!}$

⇒ $10P_{7}=\frac{(10)(9)(8)(7)(6)(5)(4)3!}{(3)!}$

⇒ $10P_{7}=(10)(9)(8)(7)(6)(5)(4)$

⇒ 604800 ways.

Hence we can conclude that the number of ways people can get off the elevator is 604800 ways.

Learn more about number of ways here

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#SPJ4

4 0

1 year ago

3. Describe the solution to the equation.

Law Incorporation [45]

I don’t really know? What grade is this?

4 0

3 years ago

Find the product. state your answer in standard form <br><br> (x+7)(x squared + 6x - 8)

USPshnik [31]

Answer:

${x}^{3} + 13 {x}^{2} + 34x - 56$

Step-by-step explanation:

$(x + 7)( {x}^{2} + 6x - 8) \\ = x ( {x}^{2} + 6x - 8) + 7( {x}^{2} + 6x - 8) \\ = {x}^{3} + 6 {x}^{2} - 8x + 7 {x}^{2} + 42x - 56 \\ = {x}^{3} + 6 {x}^{2} + 7 {x}^{2} + 42x - 8x - 56 \\ = {x}^{3} + 13 {x}^{2} + 34x - 56 \\$