MATHEMATICS HIGH SCHOOL

Choose the correct simplification of the expression (4a^4b)^2.

Answers

Answer 1

Answer:

Answer:

The simplified expression is $16a^(8b)$

Step-by-step explanation:

we need to simplify the expression $(4a^(4b))^(2)$

$(4a^(4b) )^(2)$

Using exponent rule : $(a* b)^(n) = a^(n)b^(n)$

$4^(2)(a ^(4b))^(2)$

$16(a ^(4b) )^2$

Apply exponent rule :

$(a^b)^c= a ^(b*c)$

$(a ^(4b) )^2= a ^(8b)$

$16a^(8b)$

Hence, simplified expression is $16a^(8b)$

Answer 2

Answer: $(4a^(4b) )^(2)$

Apply exponent rule : $(a*b)^n = a^nb^n$

$4^2(a ^(4b))^2$

$(a ^(4b) )^2$

Apply exponent rule :

$(a^b)^c= a ^(b*c)$

$= a ^(8b)$

$= 4^2 = 16$

$=\ \textgreater \ 16 a ^(8b)$

hope this helps!

Related Questions

The probability that a given urine sample analyzed in a pathology lab contains protein is 0.73 (event A). The probability that the urine sample contains the protein albumin is 0.58 (event B). The probability that a sample contains protein, given that albumin is detected, is 1. Which statement is true?a. Events A and B are dependent because P(A|B) =P(A).b. Events A and B are dependent because P(A| B) ≠ P(B).c. Events A and B are dependent because P(A|B) = P(A) + P(B).d. Events A and B are dependent because P(A| B)≠ P(A).e.Events A and B are dependent because P(A|B) = P(A).
Y = –x + 4 x + 2y = –8 How many solutions does this linear system have?
$5 out of every $100 a worker earns goes for clothes. On $4,000 a year wages, how much does he spend on clothes?
the scale of a map says that 6cm represents 15 km. what distance on the map represents an actual distance of 6 kilometres
The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.1.828/9

Factor the trinomial in to 2 sets of parentheses
12a squared minus 13a minus 35

Answers

it can't be factored because there are no 2 numbers that when you multiply you get 35 and when you add you get 13.

If the probability of an event is 26%, what is the probability of its complement occurring?

Answers

84%

100-26=84

26%+84%=100%

the answer is 84% hope this helps

Alison buys 2 boxes of strawberries, box A and box B. Box A contains 15 strawberries. The strawberries in box A have a mean weight of 24 grams. Box B contains 25 strawberries. The strawberries in box B have a mean weight of 18 grams. Alison puts all 40 strawberries into a bowl. Work out the mean weight of the 40 strawberries

Answers

Step-by-step explanation:

Yo no se hablar english ............................

1235678 has how many tens in it? how many hundreds in it? and how many thousands? explain

Answers

My guess:
It has 7 tens because the 7 is in the tenths place.
It has 6 hundreds in it because a 6 is in the hundredths place.
And 5 thousands because a 5 is in the thousandths place.

My second mathematical guess:
123,567.8 tens because 12345678 divided by ten is that.
123456.78 hundredths because ^^^hundreds
12345.678 thousandths because^^^ thousands
Or another explanation for my second guess is each 0 it has in it is another decimal place moved to the left of the digits 12345678.

Hahaha hope I helped. It's just a guess. Lol

7 tens, 6 hundreds, and 5 thousands.

A una granja llegaron 54 ovejas 24 vacas 30 cerdos los cuales se quieren repartir en corrales con igual numero de animales de forma que haya la mayor cantidad posible en cada corral ¿cuantos animales posibles deben ir en cada uno de los corrales?

Answers

Answer: 6 animals should go in each pen.

Step-by-step explanation:

Total sheep = 54

Total cows = 24

Total pigs = 30

Highest number of animals are possible in each pen such that animals are distributed in pens with the same number = Greatest common divisior (54,24, 30)

54= 6 x 9

24= 6 x 4

30 = 6 x 5

So, Greatest common divisior (54,24, 30) = 6

Hence, 6 animals should go in each pen.

Patty is 50 mi. due north of Todd. Emma is due east of Todd. The angle between the direction of the shortest distance from Emma and Patty and due east is 40°. To the nearest mile, how far is Emma from each person?

Answers

For this it would be helpful if you draw a diagram of the situation. You will see that a right triangle can be formed from the problem. We use trigonometric functions to solve. We do as follows:

sin 40 = 50/y
tan 40 = 50/x

Solving we obtain,
x = 60 mi
y = 78 mi

Hope this answers the question. Have a nice day.

Answer:

Hence, the distance between Todd and Emma is:41.955 mi.

and the distance between Patty and Emma is:32.14 mi.

Step-by-step explanation:

We will see that we will get a right angled triangle based on our information(The graph is attached to the answer)

Now let x denotes the distance between Emma and Todd.

and y denotes the distance between Emma and Patty.

Now as the triangle is right angled so we can use the trignometric identities to find the distance.

$\tan40\degree=(50)/(x)$