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marshall27 [118]
3 years ago
12

Which is the simplified form of n Superscript negative 6 p cubed?

Mathematics
2 answers:
evablogger [386]3 years ago
3 0

Answer:

Third option. \frac{p^3}{n^{6}}

Step-by-step explanation:

For this exercise you need to remember one of the properties for exponents.

There is a property called the "Negative property of exponents" which states the following:

b^{-n}=\frac{1}{b^n}

Where b \neq0

As you can observe,  b^n is the reciprocal of b^{-n}

In this case you have the following expression given in the exercise:

n^{-6}p^3

Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.

Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.

Then, the simplified form of  n^{-6p^3} is the one shown below:

n^{-6}p^3=\frac{p^3}{n^{6}}

Galina-37 [17]3 years ago
3 0

Answer:

C!

Step-by-step explanation:

it is

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A and D {: (edg 2021)
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8 0
2 years ago
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6 0
3 years ago
Im kind of confused on this practice problem
stich3 [128]

Answer:

v = 124 cm³

Step-by-step explanation:

The figure shown is a composite figure. You can compartmentalize this figure into two separate figures to facilitate calculating the volume. I will section the figure into a cube and a rectangular prism. In a cube, the sides are congruent. So,

v = a³

v = 4³

v = 64

Now, for the rectangular prism.

v = l · w · h

v = 10 · 3 · 2

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64 + 60 = 124 cm³

3 0
2 years ago
How do I solve this??
WITCHER [35]

Answer:

Step-by-step explanation:

Formula

Sn = (a + a + (n - 1)*d) * n / 2

Givens

Sn = 60

a =  3

Solution

You want integer values for d and n

60 = (2*a + (n - 1)*d) * n/2           Multiply both sides by 2

120 = (2*3 + (n - 1)*d ) * n    

120 = (6 + n*d - d) * n

120 = 6n + n^2*d - d*n

This gives some really wild results. I will list all of them here. and then discuss them.

These are the ones that give results without any question and are correct.

n         d         tn

2         54         3  57

3          17         3    20   37

4           8         3    11   19   27

Here are some that are the gift of the equation

20         0           3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

Now the equation says the following 3 are correct, but are they? Can you have a negative n? The equation says yes, but I doubt your instructor will.

-5         5          

-1         63

-2        22

You can bring these up if you are in a classroom. I wouldn't if you have to submit this to a computer which has absolutely no ability whatever to think about exceptions. Even the 20 0 is one I wouldn't use.

7 0
3 years ago
900 students attend Ridgewood Junior High School. 5% of students bring their lunch to school everyday. How many students brought
Ne4ueva [31]

Answer:

180 students brought their lunch to school on Thursday

Step-by-step explanation:

We are told that out of 900, 5% of the students brought their lunch to school everyday

So the number that brought their lunch on Thursday will be;

5% of 900

= 5/100 * 900 = 180

8 0
2 years ago
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