1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natka813 [3]
3 years ago
6

Given the expression 12 over 12 to the third power.

Mathematics
2 answers:
4vir4ik [10]3 years ago
5 0
<u><em>Part 1:</em></u>
<u>Before we begin, you need to remember the following rule:</u>
\frac{x^a}{x^b} = x^{a-b}

<u>The given expression is:</u>
\frac{12}{12^3}

Since the base is the same in both numerator and denominator, we can apply the above rule. <u>This means that:</u>
\frac{12}{12^3} = 12¹⁻³ = 12⁻²

<u><em>Part 2:</em></u>
<u>Before we begin, you need to remember the following rule:</u>
x⁻ᵃ = \frac{1}{x^a}

Now, <u>from part 1</u>, we simplified the expression into 12⁻²
Since the power is negative, we can apply the above rule.
<u>This means that:</u>
12⁻² = \frac{1}{(12)^2} =  \frac{1}{12*12} = \frac{1}{144}

Hope this helps :)
Anon25 [30]3 years ago
5 0
Part A: You can subtract the exponents 1 and 3 to end up with 12^-2. Then, you can simplify it into a fraction.

Part B: 12 ^ -2 = 1 / (12^2) = 1 / 144 OR about 0.007
You might be interested in
Need help please, I dont
aivan3 [116]

Answer:

The last answer

Step-by-step explanation:

Intigers are whole numbers

3 0
3 years ago
Read 2 more answers
Alex and Freddy collect stamps. The number of stamps in Alex’s collection to the number of stamps in Freddy’s collection is in t
vazorg [7]

Remark

The trick here is to realize that you have to find the number both have in order to find the difference. That means you take (effectively) 3/8 and 5/8 to find out how much each of them has. The 8 stands for the 136

Step One

Find the number of stamps Alex has. Remember his ratio is the smaller so he will have 3/8

Alex = 3/8 * 136

Alex = 408/8 = 51

Step 2

Find the number that Freddy has.

The total is 136

<u>Formula</u>

Freddy = Total - Alex

Freddy = 136 - 51

Freddy = 85

<u>Check</u>

Let us see if 5/8 * 136 = 85

5*136/8 = 680 / 8 = 85 So your answers are correct.

Difference

Difference = 85 - 51 = 34 which is how many more stamps Freddy has than Alex.

5 0
3 years ago
Find the shaded sector and the length of the arc. Round to the nearest hundredth. ​
Dovator [93]

Answer:

Step-by-step explanation:

I'll show you how to do the first one; the other are exactly the same, so pay attention.

The formula for arc length is

AL=\frac{\theta}{360}*2\pi r where θ is the central angle's measure. It just so happens that the measure of the central angle is the same as the measure of the arc it intercepts. Our arc shows a measure of 40°; this measure is NOT the same as the length. Measures are in degrees while length is in inches, or cm, or meters, etc. Going off that info, our central angle measures 40°. Filling in the formula and using 3.1415 for π:

AL=\frac{40}{360}*2(3.1415)(3). I'm going to reduce that fraction a bit (and I'll use the same reduction in the Area of a sector coming up next):

AL=\frac{1}{9}*2(3.1415)(3) which makes

AL = 2.09 units. Now for Area of the Sector. The formula is almost identical, but instead uses the idea that the area of a circle is πr²:

A_s=\frac{\theta}{360}*\pi r^2 where θ is, again, the measure of the central angle (which is the same as the measure of the arc it intercepts). Filling in:

A_s=\frac{1}{9}*(3.1415)(3)^2 which simplifies a bit to

A_s=\frac{1}{9}*(3.1415)(9). As you can see, the 9's cancel each other out, leaving you with

A_s=3.14 units²

7 0
3 years ago
Read 2 more answers
Find all numbers whose absolute value is 7.
suter [353]

Answer:

The absolute value of 7 is 7 and the absolute value of -7 is 7

7, -7

<h2>Please mark me as brainliest by clicking on the crown button below</h2>
4 0
3 years ago
Please help im struggling so much!
Rus_ich [418]
Hope this helps, if you need any extra help feel free to reply to this comment.

4 0
3 years ago
Other questions:
  • (8.4x + 2.9) + (-3.7x + 5).
    10·1 answer
  • there are 10 less red skittles than orange skittles in the bag the orange skittles are also twice the number of red skittles fin
    9·2 answers
  • 3 quarters equals how many dimes
    5·1 answer
  • Aston challenges his fater to a 100-m race. Aston asks to race again but wants to be given a head start. How much of a start sho
    15·1 answer
  • One fourteenth plus nine twelves
    7·2 answers
  • Aaron says that all
    9·1 answer
  • What happens to the opposite and adjacent sides when theta is moved from one acute angle to the other?
    7·1 answer
  • Amy and Darren each solved the following system of equations using a different method
    7·1 answer
  • What is the characteristics of a t test
    13·2 answers
  • Someone answer this please
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!