Explain your reasoning as you compare the values of a^n and a^-n when n<0 brainly

Answers

Answer 1

Answer:

n < 0, is another way to say "n is negative", so let's check

$\bf ~~~~~~~~~~~~\textit{negative exponents}\n\na^(-n) \implies \cfrac{1}{a^n}\qquad \qquad\cfrac{1}{a^n}\implies a^(-n)\qquad \qquada^n\implies \cfrac{1}{a^(-n)}\n\n[-0.35em]\rule{34em}{0.25pt}\n\na^n~\hspace{10.5em}\stackrel{n = -n}{a^(-n)}\implies \cfrac{1}{a^n}\n\n\na^(-n)~\hspace{10em}\stackrel{n=-n}{a^(-(-n))}\implies a^(+n)\implies a^n$

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HELP ME PLEASE 20 POINTS1.)Give a geometric example of the Symmetric Property.

2.)Give an algebraic example of the Transitive Property.

3.)Give an algebraic example of the Reflexive Property.

4.)Name the property of equality that justifies: If AB = CD and CD = EF, then AB = EF

5.)

6.)Give a geometric example of the Commutative Property.

7.)Give an algebraic example of the Distributive Property.

8.)

9.)Name the property of equality that justifies: If x = 3 and y = x + 5, then y = 8.

10.)Name the property of equality that justifies: If x + 3 = 5, then x = 2.

Answers

1) a=b, then that means b=a
2) a=b, then b will =c, which means a can =C too
3) X = X. with real numbers, irrational numbers, rational numbers
4) Property of equality and congruence
6) 6+5 = 5+6
7) 8(5+6) = 8(5) + 8(6)
9) default function?
10) associative property

A bag of chips costs $3.79 including tax. Mr. Connor wants to purchase chips for his class and has a $15 budget. Write an inequality to solve for the number of bags of chips Mr. Connor can purchase with his budget.

Answers

15/3.79 =4 thats how many bags can be purchased

-Help?-Simplify.
$8\sqrt{63x^(14) 14y^(9)$
Assume x and y are nonnegative.

A: $24x^(7)y^(4)√(7y)$
B: $3x^(7)y^(4)√(7y)$
C: $24x^(5)y^(4)\sqrt{7x^(2)y}$
D: $24x^(7)y^(3)√(7)$

Answers

the simplified expression is $24x^7 y^4 √(7y)$ , which corresponds to option A.

To simplify the expression $$8\sqrt{63x^(14)14y^9}$,$ we can break down the radicand into its prime factors and then simplify:

$8\sqrt{63x^(14)14y^9} = 8√(7 \cdot 9 \cdot 7 \cdot 2 \cdot (x^7)^2 \cdot (y^4)^2 \cdot (y^1))$

Now, we can take the squareroot of perfect squares and pull them out of the square root:

$8 \cdot 3 \cdot 7 \cdot x^7 \cdot y^4 \cdot √(y)$

Simplifying further:

$24x^7 y^4 √(7y)$

To know more about expression:

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Answer:

Step-by-step explanation:

https://tex.z-dn.net/?f=24x%5E%7B5%7Dy%5E%7B4%7D%5Csqrt%7B7x%5E%7B2%7Dy%7D

this is correct

Becky wants to fence in a rectangular play area for her dog. If she was 82 feet of fencing and wants the length of the play area to be 9 feet longer than its width then what should the dimensions of the play area be?

Answers

ok
fencing=perimiter
perimiter=L+L+W+W=2L+2W=2(L+W)
82=2(L+W)
divid eboth sides by 2 for ease of use
41=L+W

if she wants legnth to be 9 more than width, then
L=9+W
subsitute 9+W for L
41=9+W+W
41=9+2W
subtract 9
32=2W
divide 2
16=W

subsitute
L=9+W
L=9+16
L=25

the pen should be 25 feet by 16 feet

length= width+9 ----- Now we can substitute length with width!
Perimeter = 2(length) + 2(width)
Perimeter = 82
82= 2(w+9) + 2w
41 = w+ 9 + w
41-9 = 2w
32 = 2w
16= w (now plug w into the equation for length)
length = 16 + 9 = 25

SOO... Dimensions = 16 x 25

Convert
27
40
to a decimal using long division.

Answers

Answer: The number is 0,675

Step-by-step explanation:

Using long division you must divide the two numbers one by one.

Step 1: Because the numerator (27) is smaller than the denominator (40), you put the zero (0) first to add one zero to de right of the numerator.

270 / 40

Step 2: You will find the number that you can multiplicate 40 to get a number smaller than 270.

40 × 6 = 240

6 its the first number after the comma.

Then: 270 - 240 = 30 (the rest)

Step 3: Add another zero to 30 like you do in step 1 and do step 2 again

40 × 7 = 280

Then 300 - 280 = 20 (the rest)

Step 4: Now you have 20, add a zero and you have 200, that number its a multiple of 40, so your division finally is:

40 × 5 = 200

Now you have the three numbers after the comma of your result.

The value of the fraction number 27 / 40 using the long division method will be 0.625.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The expression is given as,

27 / 40

The value of the fraction number 27 / 40 using the long division method is calculated as,

40 ) 270 (0.675

- 240

300

- 280

200

- 500

0 0

More about the division link is given below.

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Find four consecutive odd integers whose sum is 196

Answers

$a;\ a+2;\ a+4;\ a+6-the\ numbers\n\na+(a+2)+(a+4)+(a+6)=196\n4a+12=196\n4a=196-12\n4a=184\ \ \ \ \ \ /:4\na=46\n\na+2=46+2=48\na+4=46+4=50\na+6=46+6=52\n\nSolutions:\neven\ numbers:46;\ 48;\ 50\ and\ 52.$

Two fif th thousand and i dont get the anawe

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