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3 years ago

Which choice represents the fraction below as a single exponential expression?

Mathematics

1 answer:

Zanzabum3 years ago

6 0

Answer:

8^-12

Step-by-step explanation:

Simplify the following:

8^4/8^16

Combine powers. 8^4/8^16 = 8^(4 - 16):

8^(4 - 16)

4 - 16 = -(16 - 4):

8^(-(16 - 4))

| 1 | 6

- | | 4

| 1 | 2:

8^(-12)

8^12 = (8^6)^2 = ((8^3)^2)^2 = ((8×8^2)^2)^2:

1/((8×8^2)^2)^2

8^2 = 64:

1/((8×64)^2)^2

8×64 = 512:

1/(512^2)^2

| | | 5 | 1 | 2

× | | | 5 | 1 | 2

| | 1 | 0 | 2 | 4

| | 5 | 1 | 2 | 0

2 | 5 | 6 | 0 | 0 | 0

2 | 6 | 2 | 1 | 4 | 4:

1/262144^2

| | | | | 2 | 6 | 2 | 1 | 4 | 4

× | | | | | 2 | 6 | 2 | 1 | 4 | 4

| | | | 1 | 0 | 4 | 8 | 5 | 7 | 6

| | | 1 | 0 | 4 | 8 | 5 | 7 | 6 | 0

| | | 2 | 6 | 2 | 1 | 4 | 4 | 0 | 0

| | 5 | 2 | 4 | 2 | 8 | 8 | 0 | 0 | 0

1 | 5 | 7 | 2 | 8 | 6 | 4 | 0 | 0 | 0 | 0

5 | 2 | 4 | 2 | 8 | 8 | 0 | 0 | 0 | 0 | 0

6 | 8 | 7 | 1 | 9 | 4 | 7 | 6 | 7 | 3 | 6:

Answer: 1/68719476736 = 8^-12

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cupoosta [38]

Answer:

3/5 or 0.6

Step-by-step explanation:

Here, given the value of tan theta , we want to find the value of sine theta

Mathematically;

tan theta = 0pposite/adjacent

Sine theta = opposite/hypotenuse

Firstly we need the length of the hypotenuse

This can be obtained using the Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.

Let’s call the hypotenuse h

h^2 = 3^2 + 4^2

h^2 = 9 + 16

h^2 = 25

h = √(25)

h = 5

Now from the tan theta, we know that the opposite is 3

Thus, the value of the sine theta = 3/5 or simply 0.6

5 0

3 years ago

Solve Ax-By=c for y how do you solve this

Rainbow [258]

Answer:

y = - c/B + Ax/B

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0

3 years ago

Ken has a pole that is 26 inches long. He wishes to cut it into two pieces so that one piece will be 8 inches

bazaltina [42]

Answer:

im too immature for this lol...9. the answer is 9 inches

Step-by-step explanation:

9+9=18

18+8=26

4 0

2 years ago

Solve these equation<br>|2x+1|=|x-2|

bagirrra123 [75]

Step-by-step explanation:

2x+1x= -2+1

3x= -1

3x÷3= -1÷3

x=|-3.3333..|=3.33333.. or

$\frac{1}{3}$

4 0

3 years ago

A triangle has sides with length of 11 feet 12 feet and 13 feet. Is it a right triangle

krek1111 [17]

Answer:

Step-by-step explanation:

It will be a right triangle if it follows Pyhthagoras Theorem . Where the sum of squares of two smaller sides is equal to the square of the 3rd side. Let's check ,

→ 11²+ 12² = 13²

→ 121 + 144 = 169

→ 265 ≠ 169

<h3>Hence the ∆ is not a right angled triangle </h3>

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3 years ago