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Kaylis [27]
2 years ago
15

why do whole numbers get raised to an exponent get greater, while fractions raised to an exponent get smaller

Mathematics
2 answers:
11111nata11111 [884]2 years ago
8 0
Actually, not all fractions when raised to an exponent get smaller.  For example, \frac{3}{2}^2=\frac{9}{4}.  9/4 is bigger than 3/2, so this fraction gets bigger when raised to an exponent.

In reality, positive numbers less than one decrease when raised to an exponent, and numbers greater than one increase. Multiplying a positive number by any number greater than one increases it's value, and multiplying it by any number less than one decreases it's value.  For numbers less than one, taking the exponent involves multiplying it by a number less than one, thus decreasing it, and for numbers greater than one, taking the exponent involves multiplying it by a number greater than one, thus increasing it.
KATRIN_1 [288]2 years ago
5 0

Because a whole number raised to a power means

                     several times several ,

but a fraction raised to a power means

                       a piece of a piece .

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Please help im so confused​
slava [35]

Answer:

\text{1. }50^{\circ}\\\text{2. }80^{\circ}

Step-by-step explanation:

1. The measure of an inscribed angle is always half the measure of the arc it forms. Since angle ACB forms arc AB with a measure of 100 degrees, the measure of angle ACB will be equal to \frac{100}{2}=\boxed{50^{\circ}}.

2. Relating to problem 1, both inscribed angles marked in the figure form the same arc. All inscribed angles forming the same arc will have the same measure. Therefore, the measure of angle GEF is equal to \boxed{80^{\circ}}.

3 0
2 years ago
Two-thirds of a number added to itself is 20. What is the number?
vivado [14]

Answer:

12

Step-by-step explanation:

2/3 x + x = 20

2/3 x + 3/3x = 20

5/3 x = 20   ... times 3/5 both sides

x = 12

check: 2/3 x 12 + 12 = 8 + 12 = 20

8 0
3 years ago
Solve the system of the linear equation using any method:<br> 2x+5y=4<br> 4x+7y=11
mr_godi [17]
Multiply the first equation by 2:
4x+10y=8
Subtract the second equation from this so the 4x cancels:
3y = -3
y = -1
Plug into first equation:
2x -5 = 4
2x = 9
x = 9/2 = 4 1/2 = 4.5
So (x,y) = (-1,4.5)
3 0
3 years ago
Read 2 more answers
What is the value of x in the equation 3x -1/9<br> y = 18, when y = 27?<br> 5<br> 7<br> 45 63
almond37 [142]

Answer:

x=7

Step-by-step explanation:

we have

3x-\frac{1}{9}y=18

Substitute the value of y=27 in the equation and find the value of x

so

3x-\frac{1}{9}(27)=18

3x-3=18

3x=18+3

3x=21

x=7

4 0
2 years ago
What is the slope of the line that passes through the points (2,0) and
Y_Kistochka [10]

Answer:

slope = - \frac{1}{6}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (32, - 5)

m = \frac{-5-0}{32-2} = \frac{-5}{30} = - \frac{1}{6}

3 0
2 years ago
Read 2 more answers
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