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
On a school trip, the ratio of the teachers to students is 2:21. The ratio boys to girls is 4:3. If there are 18 girls girls on
Alexandra [31]

Answer:

4

Step-by-step explanation:

Let's say B is the number of boys and T is the number of teachers.

T / (B + 18) = 2/21

B/18 = 4/3

Solve the second equation for B.

B = 24

Plug into the first equation to find T.

T / (24 + 18) = 2/21

T = 4

6 0
3 years ago
Please help me with question when your answering it make sure you explain it so I get it
IrinaK [193]
So plug in the number of passengers into each equation and see which answer matches Layton's. then from all the answers you find from plugging in the number of passengers, choose the cheapest one for B
4 0
3 years ago
1/2 - 1/5=<br> Please answer
Veronika [31]

Answer: 3/10

Step-by-step explanation:

Subtract them

5 0
3 years ago
Read 2 more answers
You travel from point A to point B in a car moving at a constant speed of 70 km/h. Then you travel the same distance from point
tankabanditka [31]

Answer:

Yes, the average speed for the entire trip from A to C is equal to 80\frac{km}{h}

Step-by-step explanation:

The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time. For the special case of straight line motion in the x direction, the average velocity takes the form:

V_a_v_e_r_a_g_e=\frac{x_2-x_1}{t_2-t_1}=\frac{Δx}{Δt}

If the beginning and ending velocities for the motion are known, and the acceleration is constant, the average velocity can also be expressed as:

V_a_v_e_r_a_g_e=\frac{V_1+V_2}{2}

We Know that:

V_1=70\frac{km}{h} \\\\V_2=90\frac{km}{h}

Replacing the values:

V_a_v_e_r_a_g_e=\frac{70+90}{2} =\frac{160}{2}=80\frac{km}{h}

5 0
3 years ago
Which of the following correctly indicates whether a triangle can have sides with lengths 3.8, 7.4, and 11, and also provides th
dimaraw [331]

Answer:

I think its c?

Step-by-step explanation:

Im sorry if its wrong.

6 0
3 years ago
Other questions:
  • Patricia took out a loan for for an expensive sports car. The total interest for the 37 month loan was $23,091. Find the interes
    12·1 answer
  • What is the value of x?<br><br> Enter your answer, as a decimal, in the box.
    10·1 answer
  • Nate walks 25 meters in 13.7 seconds. if he walks at the same rate, which of the following is closest to the distance he will wa
    9·1 answer
  • A drawer has 4 red shirts and 8 green shirts. What is the ratio of red to yhe total number of shirts
    5·2 answers
  • A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It
    5·1 answer
  • I need help solving for x.
    15·1 answer
  • Find the 62nd term of the following sequence:<br> (-21, – 27, - 33, - 39,...)
    14·1 answer
  • In the figure shown, what is m _A? Explain.<br> 57°<br> B<br> с
    11·1 answer
  • Help please i dont understand this
    13·1 answer
  • What is the nature of triangle formed by the lines x+y=0 , 3x+y=0 , x+3y-4=0
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!