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3 years ago

Think About the Process Which property of exponents do you use to simplify this expression? Simplify the expression. 12^8/12^4

Mathematics

1 answer:

Naya [18.7K]3 years ago

3 0

Answer:

12^4 = 20736

Step-by-step explanation:

The property of exponents used to simplify : 12^8/12^4

The division property :

a^x / a^y = a^(x - y)

Therefore ;

12^8/12^4

12^8 / 12^4 = 12^(8 - 4) = 12^4 = 20,736

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Please help me out...........

Sindrei [870]

Answer:

Step-by-step explanation:

If N is midpoint between Q and R, then use the formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

We have the points Q(0, 2b) and R(2c, 0). Substitute:

$x=\dfrac{0+2c}{2}=\dfrac{2c}{2}=c\\\\y=\dfrac{2b+0}{2}=\dfrac{2b}{2}=b$

6 0

3 years ago

Find the equation of the line through point (10,4) and parallel to 3x+5y=8. Use a slash ("/") for fractions (e.g. 1/2 for 12). D

MAXImum [283]

Answer:

3x + 5y = 50

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

3x + 5y = 8 ( subtract 3x from both sides )

5y = - 3x + 8 ( divide terms by 5 )

y = - $\frac{3}{5}$ x + $\frac{8}{5}$ ← in slope- intercept form

with slope m = - $\frac{3}{5}$

Parallel lines have equal slopes , then

y = - $\frac{3}{5}$ x + c ← is the partial equation

to fid c substitute (10, 4 ) into the partial equation

4 = - 6 + c ⇒ c = 4 + 6 = 10

y = - $\frac{3}{5}$ x + 10 ← equation of parallel line in slope- intercept form

multiply through by 5 to clear the fraction

5y = - 3x + 50 ( add 3x to both sides )

3x + 5y = 50 ← equation of parallel line in standard form

5 0

2 years ago

Read 2 more answers

Ahmed and Karnia are building scenery of the Egyptian pyramids out of plywood for a community play. They pyramids are represente

Arlecino [84]

A.)
The first thing we must do for this case is to find the area of the complete figure.
We have then:
Triangle 1:
A1 = (1/2) * (1.5) * (1)
A1 = 0.75 feet ^ 2
Triangle 2:
A2 = (1/2) * (1.5) * (2)
A2 = 1.5 feet ^ 2
Triangle 3:
A3 = (1/2) * (0.75) * (1)
A3 = 0.375 feet ^ 2
Rectangle:
A4 = (5) * (0.75)
A4 = 3.75 feet ^ 2
Adding the areas we have:
A = A1 + A2 + A3 + A4
A = 0.75 + 1.5 + 0.375 + 3.75
A = 6.375 feet ^ 2
Answer:
there are 6,375 feet ^ 2 of plywood in the scenery

B.)
Triangles:
A = A1 + A2 + A3
A = 0.75 + 1.5 + 0.375
A = 2,625 feet ^ 2
Two layers of paint:
A = 5.25 feet ^ 2 <45 feet ^ 2
Rectangle:
A = 3.75 feet ^ 2
Two layers of paint:
A = 7.5 feet ^ 2 <45 feet ^ 2
Answer:
One quart of each color is needed.

5 0

3 years ago

1<br> The measure of Z1 =

ollegr [7]

Answer:

∠1 = 90°

Step-by-step explanation:

The angle inscribed in a semicircle is always 90°

∠1 = 90°

3 0

2 years ago

Estimate a 20% tip on a dinner bill of $171.81 by first rounding the bill amount to the nearest ten dollars.

NARA [144]

$34 is a proper 20% tip on a $171.81 dinner. Move the decimal point twice to the left, then multiply that twice.

6 0

3 years ago

Think About the Process Which property of exponents do you use to simplify this​ expression? Simplify the expression. 12^8/12^4

Think About the Process Which property of exponents do you use to simplify this expression? Simplify the expression. 12^8/12^4