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IrinaK [193]
3 years ago
13

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Mathematics
1 answer:
Katena32 [7]3 years ago
4 0

Answer:

(a)

5^{-3}=\frac{1}{125}

(b)

-5^{-3}=-\frac{1}{125}

(c)

(-5^{-3})^{-1}=-125

(d)

(-5^{-3})^{0}=1

Step-by-step explanation:

(a)

5^{-3}

we can use property of exponent

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

we get

5^{-3}=\frac{1}{5^3}

5^{-3}=\frac{1}{5\times 5\times 5}

5^{-3}=\frac{1}{125}........Answer

(b)

-5^{-3}

we can use property of exponent

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

we get

-5^{-3}=-\frac{1}{5^3}

-5^{-3}=-\frac{1}{5\times 5\times 5}

-5^{-3}=-\frac{1}{125}........Answer

(c)

(-5^{-3})^{-1}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{-1}=(-5)^{-3\times -1}

(-5^{-3})^{-1}=(-5)^3

(-5^{-3})^{-1}=(-5)\times (-5)\times (-5)

(-5^{-3})^{-1}=-125........Answer

(d)

(-5^{-3})^{0}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{0}=(-5)^{-3\times 0}

(-5^{-3})^{-1}=(-5)^0

we can use property

a^0=1

(-5^{-3})^{0}=1........Answer

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What is the slope of a line that passes through 2,-8 and -2,2
Sphinxa [80]

Answer:

y=-5/2x-3

Step-by-step explanation:

put the 2 points in slope to get -5/2. then use point slope form(y-y1)=m(x-x1) and put -8 in y1, 2 in x1, and -5/2 in m

4 0
3 years ago
There were 82 jerseys in the men’s department. The number of jerseys In the kids’ department was 24 times as much as the number
andrew11 [14]
Jerseys in mens department is 82

Jerseys in kids department is 24 times 82

24×82=1968
3 0
3 years ago
Which relationship between x and y in the equation shows a proportional relationship
balandron [24]

Answer:

The equation y = 3x shows a proportional relationship between x and y

Step-by-step explanation:

  • <em>The proportional relationship is represented graphically by a line passes through the </em><em>origin point </em>
  • <em>The equation of the proportional relationship is </em><em>y = m x</em>

Let us solve the question

Substitute x by 0 to find the value of y, if y = 0, then the line represents this equation passes through the origin point, then the equation shows a proportional relationship

∵ y = 3x

∵ x = 0

∴ y = 3(0)

∴ y = 0

→ That means the line that represents the equation passes through

   the origin point

∴ The equation y = 3x shows a proportional relationship between x and y

7 0
3 years ago
Uhhhhhmmmmmmmmmmmm wuts dis
vichka [17]

Answer:

Hey!

Step-by-step explanation:

Your answer would be 1/8

Have a nice day!♥

And ty XD

8 0
3 years ago
The monthly salaries of a sample of 100 employees were rounded to the nearest ten dollars. they ranged from a low of $1,040 to a
never [62]
1720 - 1040 = 680
680/7 = 97.1

I would put them in intervals of 100




6 0
3 years ago
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