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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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(2 × 3) ^2 what's the answer to this problem help me out guys ​
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(2*3)^2

do the parentheses because of using PEMDAS

P= Parentheses

E= Exponents

M= Multiplication

D= Division

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During the trip your parents drive 211.05 miles on different highways. You calculate that you spent 3.5 hours driving on the hig
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7 0
2 years ago
Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law
NARA [144]

Answer:

Slope of this line is given by:

<em>Aaron’s rate for mowing lawns is 0.5 acres per hour</em>

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

x_1=3, y_1=1.5\\x_2=5, y_2=2.5

Change in x coordinate = x_2-x_1=5-3 = 2

i.e. total time taken is 2 hours.

Change in y coordinate = y_2-y_1=2.5-1.5 = 1

i.e. total land mowed taken is 1 acre.

In other words, <em>it takes 2 hours for Aaron to mow 1 acre of land.</em>

So, "option 1)  It takes Aaron about 1 hour to mow 2 acres." is incorrect.

<u>Rate of mowing</u> lawn is the <em>land mowed by Aaron in 1 hour</em>.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = \frac{1}{2} acre i.e. 0.5 acre

Also, slope of a line is given as:

m = \dfrac{y_2-y_1}{x_2-x_1}

Here y_2 - y_1 = 1

x_2 - x_1 = 2

As per formula:

m = \dfrac{1}{2} = 0.5

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

6 0
4 years ago
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