All categories

2 years ago

How are negative exponents and positive exponents related ?

2 answers:

5 0

If it's a negative exponent for example -6 the answer would be 1/x^-6. So if x is 10. Then 10^-6 is equal to 1/10^6 (One over ten to the power of 6 or One divided by 10 to the power six)

oee [108]2 years ago

3 0

Negative or positive exponents are related by fractions.

For example, if we have a number that is raised to a negative exponent, we can write the number as the quotient between 1 and the same number raised to a positive exponent.

We have then:

$a^{-b} = \frac{1}{a^b}$

Answer:

negative exponents and positive exponents are related by fractions:

$a^{-b} = \frac{1}{a^b}$

You might be interested in

The dimensions of a box that is a rectangular prism are 3 inches, 4 inches, and 6 inches. What is the length of the diagonal fro

Neporo4naja [7]

Answer:

7.8 in

Step-by-step explanation:

Given:-

- The dimension of rectangular prism:

(3 x 4 x 6) inches

Find:-

What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?

Solution:-

- We will set up an origin with coordinates ( 0 , 0 , 0 ) at point R. Then the coordinates of point S would be ( 3 , 4 , 6 ).

- Then we will use the distance between two points formula in cartesian coordinate system:

Distance = $\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

Where the coordinates of two points ( x1 , y1 , z1 ) & ( x2 , y2 , z2 ).

- Using R( 0 , 0 , 0 ) & S( 3 , 4 , 6 ), the distance |RS| would be:

$|RS| = \sqrt{(0 - 3)^2 + (0 - 4)^2 + (0 - 6)^2}\\\\|RS| = \sqrt{ 9 + 16 + 36}\\\\|RS| = \sqrt{61} = 7.81024$

- The distance |RS| to nearest 10th of an inch is = 7.8 in

4 0

2 years ago

How do you solve an equation by completing the square? Example: <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%2B6x%3

Serga [27]

X²+6x+8=0
x²+2*3x+9-1=0
(x+3)²-1=0
(x+3)²-1²=0
(x+3-1)(x+3+1)=0
(x+2)(x+4)=0
x₁=-2
x₂=-4
Answer: x₁=-2, x₂=-4

7 0

3 years ago

Read 2 more answers

When the polynomial in P(x) is divided by (x + a), the remainder equals P(a).

Effectus [21]

According to Remainder Theorem for the polynomials, for every polynomial P(x) there exist such polynomials G(x) and R(x), that $P(x)=(x\pm a)G(x)+R(x)$ .

When the polynomial in P(x) is divided by (x + a), then there exist such polynomials G(x) and R(x), that P(x)=(x+a)G(x)+R(x). Note that for x=-a:

P(-a)=(-a+a)G(-a)+R(-a)=0·G(a)+R(-a)=R(-a).
This means that P(-a) is the remainder, not P(a). 
Answer: correct choice is B.

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20-%2010%20%5Ctimes%2018%20%7Br%7D%5E%7B%20-%208%7D%20%20%3D%20%20-%202" id="TexFormula1" tit

grigory [225]

Answer:

1.107 = r

Step-by-step explanation:

To solve this for r, do the following:

Add 10 to both sides, to isolate the r term on the left: 18r^(-8) = 8

Divide both sides by 18, to isolate r^(-8): r^(-8) = 8/18

Invert both sides: r^8 = 9/4

Take the natural log or both sides:

8 ln r = ln 9 - ln 4, or

8 ln r = 0.8109, so that ln r = 0.1014

to find r, raise e to the power ln r on the left and e to the power 0.1014 on the right:

ln r 0.1014

e = e = 1.107 = r

3 0

3 years ago

Help! x=2/3+4•9 PLEASE HELP

Rina8888 [55]

x=‌23‌+(4)(9)
x=‌23‌+(4)(9)
x=‌23‌+36
x=‌1103‌‌

3 0

2 years ago