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
LekaFEV [45]
3 years ago
13

Select all the pairs of equivalent expressions.

Mathematics
1 answer:
iren2701 [21]3 years ago
3 0

Answer:

\huge\boxed{(3^4)^4=3^8\cdot3^8}\\\boxed{4^3\cdot5^3=20^3}\\\boxed{(4^3)^3=4^3\cdot4^3\cdo4^3}

Step-by-step explanation:

a^n\cdot a^n=a^{n+m}\\\\(a^n)^m=a^{n\cdot m}\\\\(a\cdot b)^n=a^n\cdot b^n\\=====================

(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3=4^{3+3}=4^6\\\\4^9\neq4^6\to(4^3)^3\neq4^3\cdot4^3\\==================

(3^4)^4=3^{4\cdot4}=3^{16}\\3^8\cdot3^8=3^{8+8}=3^{16}\\\\(3^4)^4=3^8\cdot3^8\\================

6^4\cdot3^4=(6\cdot3)^4=18^4\\\\18^4\neq18^8\to6^4\cdot3^4\neq18^8\\=================

4^3\cdot5^3=(4\cdot5)^3=20^3\\\\4^3\cdot5^3=20^3\\=================

(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3\cdot4^3=4^{3+3+3}=4^9\\\\(4^3)^3=4^3\cdot4^3\cdot4^3

You might be interested in
The graphs below have the same shape. What is the equation of the blue<br> graph?
hoa [83]

Answer:

B

Step by Step Explanation

It is because the y intercept is -2 and here since it is a curve, it is ()^2.

7 0
2 years ago
What does A = and what does B =​
krek1111 [17]

Answer:

Step-by-step explanation:

<UWV = 180° - 50° - 50° ( SUM OF ANGLE IN A TRIANGLE)

<UWV = 80° which is angle A

b = 20 ( isosceles triangle)

8 0
3 years ago
Read 2 more answers
Please help me solve -6 = 14 - z/3
dybincka [34]
Solve. -6 = 14 - z/3Subtract 14 from both sides

-20 = -z/3

Multiply -3 by both sides to get rid of the negative and 3 with the z.

z= 60
6 0
3 years ago
Read 2 more answers
At Doggy Daycare, there are 3 trainers assigned for every 12 dogs. There are 72 dogs enrolled for the daycare on Tuesday. Determ
fenix001 [56]

Answer:

18

Step-by-step explanation:

make a ratio relation:

3 trainers : 12 dogs

x trainers : 72 dogs

3/12 = x/72

solve for x, and you get 18

7 0
3 years ago
What is the answer to 9(17 - 9) - 2^2/ 2^2
Dmitriy789 [7]
-17 - 24 -(-9) =
-17 - 24 + 9 =
- 41 + 9 =
- 32

Hope this helps
7 0
3 years ago
Read 2 more answers
Other questions:
  • a research company polled a random sample of 799 US teens about internet use. 49% of those teens reported that they had misrepre
    10·1 answer
  • What x-value makes the set of ratios equivalent?
    12·1 answer
  • Toby goes on holiday to Geneva, Switzerland.
    7·1 answer
  • A number is multiplied by 5, and then 3 is subtracted from th product. the result is 12
    13·1 answer
  • What is the equation of the circle shown below?
    14·1 answer
  • Kenya picked 18 flowers from her garden. If 3− 5of flowers in her garden remain unpicked, how many flowers are still in her gard
    10·1 answer
  • Which Of the following is the value of 7-15:3-2?​
    14·1 answer
  • Multiply and simplify <br> tan θ(cos θ − csc θ)
    6·1 answer
  • A sound wave is modeled with the equation y = 1 4 cos 2 π 3 θ . a. Find the period. Explain your method. b. Find the amplitude.
    10·1 answer
  • An expression is shown below:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!