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
Alinara [238K]
1 year ago
7

This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!

Mathematics
1 answer:
Mekhanik [1.2K]1 year ago
7 0

49^2m-m : Not equivalent

7^2m-2m : Not equivalent

7^2m-m : Not equivalent

This is actually a trick question. All of the following are actually false statements. Want to know why? Let me show you.

For exponents, if you are dividing a number to some power (i.e 5^3) by the SAME number to a different power (i.e 5^2), then the expression is 5^3-2 or 5^1 = 5. This is true for any number a such that a^b ÷ a^c = a^b-c.

Since 7 and 49 are not the same number, this rule does not apply and thus cannot be simplified any further.

Let me prove why. 5^3 = 125, and 5^2 = 25, and 125 ÷ 25 = 5. This is also the same as 5^3-2 = 5^1 = 5. We just proved this as so.

But, what about 7 and 49, or 2 different numbers. Well it doesn't apply. 7^3 = 343, and 49^2 = 2401, and 343 ÷ 2401 ≈ 0.14. Thus, this is NOT equal to 7^3-2 which is 7. We just proved that a^y ÷ b^z ≠ a^y-z. Congratulations!

Hope this helped!

You might be interested in
In the cafeteria there are 283 bananas left and 7 classes who still need to eat if each class shares the bananas equally how man
romanna [79]
Well we don't know the total of students so we divide 283 by 7.Which equals approximately to 41.
5 0
3 years ago
What is the least common multiple of 24, 16, and 32?​
notsponge [240]

Answer: the LCM is 96

Step-by-step explanation: looked it up

7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLYEST!!!!!
kondor19780726 [428]

Answer:

+10 units

Step-by-step explanation:

8 0
2 years ago
I think I got this for the most part just need to be surs
defon

Answer:

a) 37.33 tons

b) 96 tons

c) Week 2

Step-by-step explanation:

a) 40+40+32=112÷3=37.33 tons

b) 32+40+24=96 tons

c) Week 2

6 0
3 years ago
The number a exceeds the number b by 50 percent. By what percent is the number b smaller than the number a?
Julli [10]
50%, because to exceed is to be larger than, so if A is larger than B by 50%, then that means that B is 50% smaller than A.
8 0
3 years ago
Other questions:
  • I need a response thank u if u help me
    6·1 answer
  • If line MO bisects angle PMN, angle PMN =74 and angle OMN =(2x+7)
    15·1 answer
  • THIS IS ASAP ILL GIVE BRAINIST
    14·2 answers
  • The sum of two numbers is eleven. One number is thirty-eight less than six times the other. Find the numbers.
    8·1 answer
  • What is 300% of 12???
    9·2 answers
  • Evaluate when x=2 and y=3. *<br> 3x-2 y3<br> Your answer
    8·1 answer
  • A diver was at 58m below sea level.The diver swam up 4m every 12 seconds. Where is the location of the diver after 2 minutes?​
    6·2 answers
  • For every apple Lisa buys at the store, she buys three bananas, If Lisa buys 7 apples at the store, How many Bananas will she bu
    14·1 answer
  • Which of the following is equivalent to 1/10?
    7·1 answer
  • Aisha has an aquarium that can hold 150 cubic feet of water. The aquarium is 3 ft high. Which of the following could be the dime
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!