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3 years ago

Is the statement (3^5)^4 equal to (3^4)^5 ? explain the reasoning, DUE TOMORROW

Mathematics

2 answers:

Shkiper50 [21]3 years ago

4 0

Note that both 5 and 4 are exponents, and their product is 5*4=20, or 4*5=20. Thus,

(3^5)^4 is equal to (3^4)^5

Review:

(a to the power b)to the power c = a to the power bc.

Thus, (3 to the power 5)^4 = 3^20; the same is true if you reverse the positions of the 5 and the 4.

Juli2301 [7.4K]3 years ago

4 0

Yes, because they are basically the same problem since you have to multiply the exponents together.

(3^4)^5 = (3^4*5) = 3^20 = 3486784401

(3^5)^4 = (3^5*4) = 3^20 = 3486784401

You might be interested in

which property does the example shows. 23.1+42.6=42.6+23.1. A. associative property of addition or B.Distributive property

konstantin123 [22]

A) distributive is where it distributes a number through a set of parenthesis.

4 0

3 years ago

Read 2 more answers

The actual answere 3 + 1(6 ÷ 2)

nadezda [96]

Hey there!

Just do PEMDAS

• Parentheses

• Exponents

• Multiplication

• Division

• Addition

• Subtraction

3 + 1(6 ÷ 2)

= 3 + 1(3)

= 3 + 3

= 6

Therefore, your answer is: 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

4 0

2 years ago

I want to know how to get the answer so I can do it myself in the future

Rudik [331]

Answer:

107/33

Step-by-step explanation:

107/33 is the rational number equivalent to 3 point 24 with a bar over 24.

5 0

2 years ago

Your friend borrows $7500 to buy an all-terrain vehicle (ATV). The simple annual interest rate is 6%. She pays off the loan afte

e-lub [12.9K]

Answer:

$162.50

Explanation:

The total amount to be paid is 7500+5(7500)(0.06)=$9750.

There were a total of (5)(12)=60 payments, so each payment is 9750/60 = $162.50.

6 0

1 year ago

A shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 3

Neko [114]

You can park in the garage for 5 hours 30 minutes

Solution:

Given that, shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 30 minutes)

Therefore,

Cost for first half an hour = $ 2

Cost for each additional half an hour = $ 1.20

Let "x" be the number of each additional half hour

Therefore, total cost to pay is given as:

Total cost = Cost for first half an hour + (Cost for each additional half an hour)(number of each additional half hour)

Total cost = 2 + 1.20x

Given you have $ 8 in cash

$8 = 2 + 1.20x\\\\1.20x = 8 - 2\\\\1.20x = 6\\\\x = \frac{6}{1.20}\\\\x = 5$

Total hours parked = first half an hour + 5

Thus you can park in the garage for 5 hours 30 minutes

4 0

3 years ago