show that a^12 can be written as a perfect square and a perfect cube

Answers

Answer 1

Answer:

Step-by-step explanation:

Doing this the long way, write a^12 as a product of "a"s

a^12 = a * a * a * a * a * a * a * a * a * a * a * a

Now group them into groups of 4

a^12 = a * a * a * a * a * a * a * a * a * a * a * a

There are 3 groups of 4 so you can write it as [(a^4)]^3 which is a cube

Now do the same thing with groups of 6s

a^12 = a * a * a * a * a * a * a * a * a * a * a * a

a^12 = (a^6)^2

So the two answers are

Perfect cube:  [(a^4)]^3

Perfect square: (a^6)^2


Related Questions

What is the slope of the line passing through the points (-1, 7) and (3, 4)?

Answers

Answer:

-3/4

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

4-7/3-(-1)

-3/4

Best of Luck!

Answer:

The slope is -3/4x.

Step-by-step explanation:

Slope = [tex]\frac{y_{2} -y_1}{x_{2} -x_1}[/tex]

[tex]\frac{4-7}{3--1}[/tex]

[tex]\frac{4-7}{3+1}[/tex]

[tex]\frac{-3}{4}[/tex]

[tex]-\frac{3}{4}[/tex]

Enter the decimal 1.27 (repeating decimal)as an improper fraction in the simplest form.

Answers

Let x = 1.272727…. Then 100x = 127.272727…. So we have

100x - x = 127.272727… - 1.272727…

99x = 126

x = 126/99 = 14/11

write 120 as product of powers of its prime factors.​

Answers

Step-by-step explanation:

[tex]120=2^3 \times 3 \times 5[/tex]

Answer:

2³ × 3 × 5

Step-by-step explanation:

To find the prime factors, first divide 120 by 2 until finished , then 3 and so on

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1 ← finish when 1 is obtained

Then

120 = 2× 2 × 2 × 3 × 5 = 2³ × 3 × 5

Can Someone Please Help ASAP! F(x) = -2 (-3+3) +1

Answers

Answer:  Your question is written f(x) = -2*(-3+3)+1.  I'll assume you need the answer for just the one value of x (-3)?  If so, f(-3) = 1.

Step-by-step explanation:  

f(x) = -2*(-3+3)+1

f(x) = -2*(0)+1

f(x) = 1

Other values x for the equation f(x) = -2*(x+3)+1:

-2 is -1

1  is -7

3 is -11

what is 4a+6⁶ what is the answer​

Answers

Answer:

[tex]4a+46656[/tex]

Step-by-step explanation:

[tex]4a+6^6[/tex]

[tex]4a+46656[/tex]

Answer:

4a + 46656

Step-by-step explanation:

4a+6⁶

4a + 46656

Brainliest

Consider each equation. Find the value of m in each equation below. Justify your answer

Answers

Answer:

Part B: m = - 4

Part C: m=0

Step-by-step explanation:

Part B:

x^3 * y^2 * x^2 * y3 * z^m * z^5 = x^5 *y^5 * z

(1/z^-5= z^5)

x^3 * x^2 = x^5

y^2 * y^3 = y^5

z^m * z^5 = z

Z^-4 * z^5 = z

m = - 4

Part C:

m = 0 (any number to the power of 0 = 1)

Find the midpoint between A(3,2) and B(12,-4)

Answers

Answer:

I hope it will help you .

Sorry my handwriting is not good.

Midpoint formula:
(3 + 12)/2, (2 - 4)/2
15/2, -2/2
(7.5, -1)

the area of a triangle is 24 square centimeters. If the base of this triangle is 8 centimeters , find the number of centimeters in the altitude

Answers

Answer:

6 cm

Step-by-step explanation:

Area = ½ × b × h

24 = ½ × 8 × h

24 = 4 × h

24/4 = h

6 = h

dfxgcfhcgdfdtztxjxjf

Answers

I don’t known ok do you know?


The scale on your
map says that three
inches on the map is equal
to 90 miles. If your final
destination is 13 inches away on the
nap, how many miles away is it?

Answers

(Unless my math is wrong) it is 390 miles

The blue dot is at what value on the number line?
-7
-3
?

Answers

Answer:

The blue dot represents the absolute value of the number occupied by red dot.

Answer:

1

Step-by-step explanation:

Three consecutive integers sum to 6. What is the least of these integers?

Answers

Answer:

The least of the three integers is 1.

Step-by-step explanation:

Hi there!

Let x be equal to the least of these integers.

Let x+1 and x+2 be the next consecutive integers.

We're given that these integers have a sum os 6.

We can use these to construct an equation:

[tex](x)+(x+1)+(x+2)=6[/tex]

Combine like terms:

[tex]x+x+1+x+2=6\\x+x+x+1+2=6\\3x+3=6\\3x=3\\x=1[/tex]

Therefore, the least of these integers is 1.

The other two integers would be 2 and 3.

I hope this helps!

x=2 and x= 9 absolute value

Answers

Answer:

if u need to write an equation for it, it would be |2x-11| =7

Which list contains ONLY irrational numbers?

Answers

The first list as they can’t be expressed in a ratio of 2 numbers

please help 30 points

Answers

The answer would be About 2.08

HELP!!! I NEED HELP WITH THIS GIVING BRAINLIEST

Round each decimal number to the nearest tenth. Then, select the best estimate for the subtraction equation 3.21 − 1.19 = ___.


1

1.5

2

2.5

Answers

Answer: is 2

Step-by-step explanation:

Answer:

The answer is 2. Looking out for that brainliest.

Step-by-step explanation:

Help anyone can help me do this question,I will mark brainlest.​

Answers

a)

n(A U B) = n(A) + n(B) - n(A inverseU B)

n(A U B)= 50 + 62 - 26 = 86

b)

n(P)=23

n(Q)=25

P follow Q

so the P is inside Q

that means the n(P U Q) equal to 25

have a great day

Help me please I will give 20 points if you answer correctly!

Answers

Answer:

Step-by-step explanation:

Base = 8 * 8 = 64 square units

4 (8*6)/2 = 96 square units

64 + 96 = 160 square units

From the set {1, 3, 4}, use substitution to determine which value of x makes the equation true.

30 - 2x = 22

Answers

30 - 2x= 22

-2x = 22 - 30

-2x = -8

(dived both sides by -2)

x= 4

15. ¿Cuál es ol rosultado de 2x(x - 1)?

Answers

¡Hola!

Explicación paso a paso Espero que te ayude

[tex]2x(x - 1) \\ \\ {2x}^{2} - 2x[/tex]

Espero que te ayude
what is this in english??

PLS HELP I'M STUCKKKK! :) WILL MARK BRAINLIEST! :)

Answers

Answer:

A

Step-by-step explanation:

Post in a bit

PLEASE HELP!!! The stem-and-leaf plot shows the number of words in the classified ads in a newspaper one day.

How many ads had at least 15, but fewer than 30, words?

1/ 0 3 3 5 7 9
2/ 0 0 1 4 5
3/ 3 8 8
4/ 7
5/ 2
Key : 1/ 0 = 10

5


14


8


11

Answers

Answer:

D. 8

Step-by-step explanation:

We can see the numbers from 20 (inclusive) to 45 on the plot:

20, 20, 21, 24, 25, 33, 38, 38

In total 8 ads

Correct answer choice is: D. 8

D I’ve done this before

If the temperature outside was 73 degrees at 5:00 p.m., but it fell 19 degrees by 10:00 p.m., what is the temperature at 10:00 p.m.? Write an addition equation and solve.
please help

Answers

Answer:

73degrees-10degrees=63 degrees

Answer: 73 + (-19) = x, x = 73-19 = 54 degrees

Step-by-step explanation: Normally this would be a subtraction equation, but if you're looking for addition you can fix that by adding a negative number- which is the same as subtraction. In this case, the times have nothing to do with the equation itself.

-3-5x-5y+8x+7y+8
PLEASE ANSWE ASAP

Answers

Answer:

3x+2y+11

Step-by-step explanation:

I hope this helps

your welcome

Answer:

3x + 2y + 5

Step-by-step explanation:

-3 - 5x - 5y + 8x + 7y + 8

(first, let's group the like terms)

= - 5x + 8x - 5y + 7y - 3 + 8

(now, add the numbers that do not have a variable,  - 3 + 8)

=  - 5x + 8x - 5y + 7y + 5

(add the elements you think are alike)

= 3x + 2y + 5

Find the perimeter. Simplify your answer.
+4
+4
U

Answers

u + u + 4 + u + 4 =

= u + u + u + 4 + 4 = 3u + 8 ← the end

The inequality -15<-6 is given. Write the inequality you get when you perform the following operation:
Divide both sides of the inequality by 3.

I got -5<-2 but it was wrong.

Answers

Step-by-step explanation:

strange, because the way you typed it, it would be absolutely correct.

If a < b and if c is a positive number, then

a/c < b/c

Dividing each side of an inequality by a positive number does not change the direction of the inequality symbol.

that is one of the defined rules.

so, did you make a mistake with a sign ? maybe the division is meant to be by -3 ?

then indeed, suddenly

5 > 2

so, please check the problem definition precisely. if your correct answer is actually wrong, then the original problem must be different than what you typed here.

The value of the inequality after dividing both sides by 3 is - 5 < - 2

Given the inequality : - 15 < - 6

Dividing both sides of the inequality by 3 :

THE inequality becomes :

-15/3 < - 6/3

-5 < - 2

Hence, the result after dividing both sides of the inequality by 3 is - 5<-2

Learn more : https://brainly.com/question/20383699

Favorrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

x=6

AD=x+18

=6+18

=24 (the final answer)

Answer:

x = 6

AD = 24

Step-by-step explanation:

To find the value of x and AD

We know that the opposite sides of parallelogram are equal

so

AD = BC

3x + 6 = x + 18

3x - x = 18 - 6

2x = 12

x = 12/2

x = 6

now we need to find AD

AD =3x + 6

instead of x we have to put 6

AD =  3 (6) +6

     = 18 +6

     = 24

AD = 24

Pls help I’m really confused on this last question

Answers

Answer:

i cant really see that bruv

Step-by-step explanation:

goodluck tho <3

Answer:

cant see it either but good luck, i tried to read it

Step-by-step explanation:

Hello guys please help with functions it's due today​:

Answers

Answer:

whats 2+2 = 4

Step-by-step explanation:

the diagram shows a cylindrical tanks.

the radius is 30 cm and the height is 80 cm.

a) calculate the area of the base tanks

b) calculate the volume of the tanks in litres​

Answers

Step-by-step explanation:

a.pi×30^2

b.pi×30^2×80

hope i helped

plss mark brainliest

Step-by-step explanation:

Given, r = 30cm

h= 80cm

a)

[tex]2\pi \times r {}^{2} [/tex]

=5654.867 cm²

b) volume of cylindrical tank

[tex]\pi {r}^{2} h[/tex]

=226194.671 cm2

[tex]1cm {}^{2} = 1ml[/tex]

=226194.671ml

=226.195litres

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