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m_a_m_a [10]
3 years ago
13

Picture above ^^^^^^^

Mathematics
1 answer:
Nitella [24]3 years ago
8 0

Answer:

Step-by-step explanation:

Since this is a test/hw, I'll give a hint.

This problem at first can seem a bit difficult with q's and power's everywhere.

But let's take a step backward. A power is when your mutiplying something by itself again and again.

Ex: 3^3=3 times 3 times 3

But what if we had something liiiike this:

(3^3)2

In this case its now

(3 times 3 times 3)^2, so its "techinicaly" (27)^2. And you would a fairly large number, which I'm to lazy to solve. But that's not the point.

We've seen what a power is deconstructed, and what a power is. Because my explantion probably confused you more than it helped, I'll give an example.

(2^2)^2=(2 times 2)^2=(4^2=16=2^4

However, there is a shorter way to solve it.

(2^2)^2=2^(2 times 2)=2^4

Hope this helps.

You might be interested in
Solve the following System of Three Equations: x−3y+z=−15<br> 2x+y−z=−2<br> x+y+2z=1
jeyben [28]

Answer:

x = -3 , y = 4 , z = 0

Step-by-step explanation:

Solve the following system:

{x - 3 y + z = -15

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for z:

{x - 3 y + z = -15

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Solve for z.

Subtract x - 3 y from both sides:

{z = 3 y + (-x - 15)

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Perform a substitution.

Substitute z = -15 - x + 3 y into the second and third equations:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

x + y + 2 (-15 - x + 3 y) = 1

Hint: | Expand the left hand side of the equation x + y + 2 (-15 - x + 3 y) = 1.

x + y + 2 (-15 - x + 3 y) = x + y + (-30 - 2 x + 6 y) = -30 - x + 7 y:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

-30 - x + 7 y = 1

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

-30 - x + 7 y = 1

Hint: | Isolate terms with x to the left hand side.

Subtract 15 - 2 y from both sides:

{z = -15 - x + 3 y

3 x = 2 y - 17

-30 - x + 7 y = 1

Hint: | Solve for x.

Divide both sides by 3:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

-30 - x + 7 y = 1

Hint: | Perform a substitution.

Substitute x = (2 y)/3 - 17/3 into the third equation:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Choose an equation and a variable to solve for.

In the third equation, look to solve for y:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Isolate terms with y to the left hand side.

Add 73/3 to both sides:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 = 76/3

Hint: | Solve for y.

Multiply both sides by 3/19:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

y = 4

Hint: | Perform a back substitution.

Substitute y = 4 into the first and second equations:

{z = -x - 3

x = -3

y = 4

Hint: | Perform a back substitution.

Substitute x = -3 into the first equation:

{z = 0

x = -3

y = 4

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = -3 , y = 4 , z = 0

6 0
3 years ago
A rational number is the..........
GalinKa [24]

Answer:

A rational number is the QUOTIENT of two INTEGERS while a rational expression is a QUOTIENT of two FUNCTIONS.

Hope this helps!

:)

5 0
3 years ago
Read 2 more answers
4^12*6^15*7^21<br><br> HEELPOOOOPO
Varvara68 [4.7K]

9514 1404 393

Answer:

  4^4·6^5·7^7 = 1,639,390,814,208

Step-by-step explanation:

Taking the cube root multiplies each exponent by 1/3.

  ((4^12)(6^15)(7^21))^(1/3) = (4^(12/3))·(6^(15/3))·(7^(21/3)) = (4^4)(6^5)(7^7)

6 0
2 years ago
What is M&lt;3. PLEASE HELPPP
melamori03 [73]

Answer:

105 degrees

Step-by-step explanation:

The angle of a straight line is 180 degrees. Since we need to find the angle for 3, it is 180-75 which is 105 degrees.

4 0
3 years ago
I need help I have 20 min
Bezzdna [24]

Answer:

1- d

2- a

3- d

4- b

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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