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Nataly_w [17]
3 years ago
8

How do you simplify exponent properties?

Mathematics
1 answer:
bonufazy [111]3 years ago
3 0
There are a few properties that will take a little while to learn, so reading this once will not necessarily teach you what you need to know.
1) exponent property of multiplication:
a^b(a^c)=a^b+c; what this means is if you have two terms with the same base multiplied by each other, you can add their exponents. Say that I have 2(2), we know that any singular number is raised to the first power. Both twos are raised to the first power so 2(2) is also 2^1+1, or 2^2. Similarly 2^2(2^3)=2^2+3=2^5. However if the terms have different bases this rule DOES NOT APPLY. (Sorry for caps, I needed emphasis).
2) exponent property of division:
a^b/a^c=a^b-c; what this means is that if you have two terms with the same base divided by each other you can subtract their exponents. For example 2^3/2^2=2^3-2=2^1=2.
3) exponent property of um... craziness: a^b^c=a^b(c); for this rule of exponents b and c don’t have to be the same. For example, if we have 2^2^3, 2^2^3=2^2(3)=2^6.
There are a few more, so these take patience, time, and attention to detail. I hope this helps a bit.
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HELP URGENT PLEASE! The Lees have purchased a new home for $360,000, and put a down payment of $50,000 on it. They have a mortga
bonufazy [111]

Answer:

$191,340.80

Step-by-step explanation:

Step 1

We find the amount that is paid monthly by the Lee's

We are told in the question that:

Cost of the house =$360,000

Down payment = $50,000

We are also told, the balance left after the down payment was made = Mortgage that is amortized at an

Interest rate of 5.25%

Time = 20 years

Hence, Mortgage amount = $360,000 - $50,000 = $310,000

Formula for monthly payment =

M= P[r(1+r)^n/((1+r)^n)-1)]

M = the total monthly mortgage payment.

P = the principal loan amount.

r = your monthly interest rate.

= rate/12

=5.25%/12 = 0.0525/12

= 0.004375

n = number of payments

= number of years × number of months

= 20 × 12 = 240 payments

Formula for monthly payment =

M= P[r(1+r)^n/((1+r)^n)-1)]

M = 310,000[0.004375(1 + 0.004375)^240/((1 + 0.004375)^240 ) - 1]

M = $2,088.92

Therefore, the monthly payment by the Lee's is $2,088.92

Step 2

We calculate the Total Amount paid by the Lee's in 20years because we are told in the question that they paid off their mortgage after 20 years

Total Amount paid = Monthly payments × Number of payments

= $2,088.92 × 240

= $501,340.80

Step 3

The third and final step is to calculate the Total interest paid for 20 years

Total Interest = Total amount paid - Mortgage amount

= $501,340.80 - $310,000

Total Interest: $191,340.80

Therefore,the interest will they have paid in total is $191,340.80

6 0
3 years ago
(3) A boy has 10 pens in a pack. He gives 2 pens to his friend. What fraction of the pack is left? *
Olegator [25]

Answer: \frac{4}{5}

Step-by-step explanation:

10 pens - 2 pens = 8 pens

Write 8 of 10 as a fraction.

You get \frac{8}{10}, right?

Now, simplify 8/10.

You get 4/5.

8 0
3 years ago
Choose an appropriate unit of measurement for each quantity
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4 0
2 years ago
How to find x and also giving reason . Thanku
Colt1911 [192]
1a. x = 70 
     Alternate Interior Angles

1b. x = 120
     Alternate Interior Angles

1c. x = 110
     Corresponding Angles

2a. x = 100
      Alternate Interior Angles
      y = 80
      Supplementary Angles (with x)

2b. x = 75
      Corresponding Angles
      y = 105
      Supplementary Angles (with x)

2c. x = 70
      Same-Side Interior Angles 
      y = 110
      Supplementary Angles (with x)

Try the rest on your own! 


7 0
3 years ago
Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.<br> What does X equal?
Neko [114]

Answer:

3.2 plz help me to

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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