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
Mice21 [21]
3 years ago
14

What is the division property of exponents?

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0
<h3>Answer:</h3>

\dfrac{a^b}{a^c}=a^{(b-c)}

<h3>Step-by-step explanation:</h3>

An exponent represents repeated multiplication. For example, ...

... x^3 = x·x·x

... x^2 = x·x

If we divide these, the x's in the denominator cancel an equal number in the numerator:

... (x·x·x)/(x·x) = x

If we represent the repeated multiplication using exponents, we can represent the cancellation by subtraction:

... (x^3)/(x^2) = x^(3-2) = x^1 = x

Once we have this idea in mind that division can be done by subtracting denominator exponents, we can use it regardless of the magnitude or sign of the exponents involved.

You might be interested in
out of 30 students surveyed 17 have a dog based on these results predict how many of the 300 students in the school have a dog
Ira Lisetskai [31]
The whole school would have 170 students that have a dog
7 0
3 years ago
Read 2 more answers
Which correctly describes a cross section of the cube below? Check all that apply.
dmitriy555 [2]

Answer:

A cross section parallel to the base is a square measuring 4 cm by 4 cm.

A cross section perpendicular to the base through the midpoints of opposite sides is a square measuring 4 cm by 4 cm.

A cross section that passes through the entire bottom front edge and the entire top back edge is a rectangle measuring 4 cm by greater than 4 cm.

Step-by-step explanation:

Cross sections parallel and Perpendicular to the base are squares 4 × 4

The diagonal cross section will be a rectangle with base 4 and height

sqrt(4² + 4²) = 4sqrt(2) > 4

7 0
3 years ago
Read 2 more answers
GIVING BRAINLIST IF YOU HELP FAST!<br><br> What is the value of x?<br> Enter your answer in the box.
slamgirl [31]
The answer to the equation is X= 27
3 0
3 years ago
6. A government's economic role is complicated by the fact that
user100 [1]

Answer:B

Step-by-step explanation:

5 0
3 years ago
Help me with this question please<br> DUE TODAY!
LenaWriter [7]

Answer: write a triangle and a quad.

no.

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Solve for x. Enter your answer below as an improper fraction in lowest terms, using the slash ( / ) as the fraction bar.
    7·2 answers
  • Based on the model ​N(1154​,81​) describing steer​ weights, what are the cutoff values for
    13·1 answer
  • 3x + 2•|x-8|-12<br> How do I solve this
    15·1 answer
  • What is factorisation ​
    9·1 answer
  • Jane wants to add chocolate chips to her trail mix. A 3-pound bag of chocolate chips costs $3.22. What is the unit price?
    8·2 answers
  • Answer thanks, show how you got the answer.
    10·1 answer
  • Help quick! Don’t have that much left
    7·2 answers
  • The scatter plot below shows the relationship between two variables, x and y. Which line best fits the data? У 30 25 20 15 10 5
    9·1 answer
  • Consider the triangles shown. Triangles V U T, U T S, and T S R are connected. Sides V T, U T, T S, and T R are congruent. If mA
    6·2 answers
  • What is the answer to 2.5 divided by 5
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!