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
muminat
2 years ago
8

Is the statement (3^5)^4 = (3^4)^5 true? Explain your reasoning.

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
3 0

Answer:

We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).

Step-by-step explanation:

For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?

When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.

For this example, I recognize that the power rule of exponents is being used:

(a^{m})^{n}  = a^{m*n}

So let's apply this rule to the given equation.

(3^5)^4 = (3^4)^5

3^(5*4) = 3^(4*5)

3^20 = 3^20

Now we know both sides of the equation equal 3^20 (or 3486784401).

You might be interested in
Donata bought 4 lemons and 4 plums at the local supermarket for a total of $ 21.60. Dan bought 11 lemons and 6 plums at the same
VashaNatasha [74]
  1. you must establish a equation system  with the information given , 4x numbers of limon , where x represent the cost of every lemon and 4y numbers of plums , where y represents the cost of plums
  2. now  the equation system is 1) 4x+ 4y = 21,60 and 2) 11x+ 6y = 40.29
  3. of the equation 1 you must obtain the value of x, 4x = 21.60+4y ⇒x=21.60/4+4y/4⇒x= 5.4+y
  4. now with the value of x , it is substitute in the equation 2)   11(5.4+y) + 6y = 40.29 , ⇒ 59.4 + 11y + 6y = 40.29 ⇒  17y = 40.29-59.4⇒ y = -19,11/7⇒ y = -2.73
  5. the value of y is substitute in the equation 1) x = 5.4 + ( -2,73)⇒ x= 2,67,  where ,the price of every lemon is $ 2,67
6 0
3 years ago
#1,2,2,3,5,6,7 I need work shown also please help
laiz [17]
I’m not sure about the estimates but the overall answers should be correct

4 0
3 years ago
Suppose you can factor x^2 + bx + c as (x + p)(x + q). If c > 0, what could be possible values of p and q?
ad-work [718]

p could be 5 and q could be 8 this is just my guess but i think its right

3 0
2 years ago
I don't know who needs to hear this but I wanted to hopefully reach out to someone.
lora16 [44]

Answer:

oh my- this actually made me happy-

Step-by-step explanation:

8 0
3 years ago
Volume of cone is 1,610.82 cubic meters what is the height
allochka39001 [22]

h = 19 Meters

To make sure it's the correct answer, plug it in the volume formula for a cone.

8 0
2 years ago
Other questions:
  • The value of a dirt bike decreases by 15% each year. If you purchased this dirt bike today for $500, to the nearest dollar how m
    12·2 answers
  • Your mom plus dad equals you
    15·1 answer
  • A line passes through the points (–6, 4) and (–2, 2). Which is the equation of the line?
    9·1 answer
  • Add: 8x8 + (-378 + 3)<br> Enter the correct answer<br> DOD<br> Clear<br> DOO
    15·1 answer
  • What is x^2 = 2y when you have to make the subject x
    9·1 answer
  • 4. (i) Solve the equation 2x2 – 7x + 4 = 0, giving
    8·1 answer
  • Find the value of x.
    7·1 answer
  • What is 4(7k + ( -2a) + 3a + 4)
    8·1 answer
  • A cost center’s performance report does not include
    13·1 answer
  • What is the slope of a line passing through (3, 4) and (5,8)?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!