MATHEMATICS MIDDLE SCHOOL

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

Answers

Answer 1

Answer:

(4a^4b)^2

= 4^2a^8b^2

= 16a^8b^2

Hope it helps.

Answer 2

Answer: $\sf Hello!$

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

⇒ $\sf 4^(2).a^(4 × 2).b^(2)$

⇒ $\sf 16.a^(8).b^(2)$

⇒ $\sf 16a^(8)b^(2)$

$\sf Hence,$
$\sf Simplified\: expression \:is\: obtained$

~ $\sf iCarl$

Related Questions

The male elephant at the city zoo weights 8,000 pounds, which is the same as 4 tons. The female elephant weights 7,000 pounds. How many does she weight?
Which strategies can be used to solve this problem? Kathleen invited 28 people to her party. She plans to seat 8 people at the dining room table. She will put the rest at round tables with 4 people at each table. What is the fewest number of round tables that Kathleen needs so that each guest will have a seat? Choose all answers that are correct. A. Draw a diagram. Eight people at 1 table, 4 people at round table, 4 people at round table, 4 people at round table, 4 people at round table, 4 people at round table. Count the number of round tables. B. Use logical reasoning. Start with 28 people, subtract 8 people who will sit at the dining room table, that leaves 20 people. Keep subtracting 4 people until you get to 0. Count how many times you subtracted 4 people. C. Translate into an equation. 28 – 8 + 4 + 4 = t D. Work backward. There are 28 people coming to the party. There is one dining table, so subtract 1. Now figure out how many round tables there are and subtract that number.
What is the solution to the equation 2x squared + 4/8 equals 3x + 3x squared
Using the numbers 2,3,5,8 to make an equation to equal 104
please help me smart people!!if u are smart u will answer my problem correctly!!! let's test your mind!!!

The large square below has a side length of 8 inches, and the smaller white square inside the large square has a side length of 2 inches.An unshaded square inside of a large blue square.

What is the probability that a point chosen at random is in the blue region?
StartFraction 1 over 16 EndFraction
StartFraction 1 over 15 EndFraction
StartFraction 15 over 17 EndFraction
StartFraction 15 over 16 EndFraction

Answers

Answer:

The probability that a point chosen at random is in the blue region is 15/16.

Step-by-step explanation:

In order to find the probability that a point chosen at random will lie in the blue region, we first have to find the area of the blue region.

The area $A$ of the large square is the product of its dimensions:

$A=(8in)^2=64in^2$

and for the smaller square area $a$ is:

$a=(2in)^2=4in^2$

Therefore the area of the blue region is the area of the larger square minus the area of the smaller square.

$A_(blue)=A-a=64in^2-4in^2=60in^2$

Therefore the probability that the point chosen at random is on the blue region is

$(A_(blue))/(A) =(60)/(64) =(15)/(16)$

The probability is $15/16$ .

letter b Step-by-step explanation:

What is the length of a side of a cube with volume 729 cm3

Answers

solution:
v = l x w x h
all cube sides are equal:
v = length^3
given v = 729 cm3
length = cube root (729)
length = 9 cm

A chess club has 500 members but is losing 30 members each year. A computer club has 150 members and is gaining 20 members per year. Write and solve an equation to find the number of years it will take for the two clubs to have the same number of members.

Answers

Answer:

7 years

Step-by-step explanation:

Given: A chess club has 500 members but is losing 30 members each year. A computer club has 150 members and is gaining 20 members per year

To Find: Write and solve an equation to find the number of years it will take for the two clubs to have the same number of members

Solution:

Total members in chess club= 500

chess club loosing members each year = 30

Number of members in chess club in year $\text{x}$

$500-30\text{x}$

Total members in Computer club= 150

chess club gaining members each year = 20

Number of members in chess club in year $\text{x}$

$150+20\text{x}$

Now,

When chess club and computer club have equal number of members

$500-30\text{x}$ = $150+20\text{x}$

$500-150=30\text{x}+20\text{x}$

$350=50\text{x}$

$\text{x}=7$

So,

It will take 7 years for two clubs to have the same number of members.

Well for this a t-chart type of graph would help but here's how you can do it:

key: ChC = chess club
CmC = computer club

ChC = 500 members ChC = losing 30/yr
CmC = 150 members CmC = gaining 20/yr

year 1 : ChC CmC
members: 470 / 170

or.... you can scrap that, here's the simpler version :
500 - 30x = 150 +20x

solution: x = 7

Hope this helps!

Fold the slope 2x+y=10

Answers

Answer:

Step-by-step explanation:

slope=m

mx+y=10

2x+y=10

How do you find the slope of the line 2x+y=10?

Change the equation to slope-intercept form, y=mx+b , where m is the slope and b is the y-intercept.

2x+y=10 Subtract 2x from both sides.

y=−2x+10 The slope is −2 .

-2 is the naswer hope this helped (negative 2)

Hayden is 59 inches tall and is standing on top of the ladder that is 2 yards talk in inches what is the distance from the top of Haydens head to the ground

Answers

Answer:

131 is the answer.

Step-by-step explanation:

For this answer, we must convert 2 yards into inches.

Each yard is represented in 36 inches. So, we have to multiply 2*36=72, which one of two important numbers.

Then, we take 59, which is our second important number and also Hayden's height and we finally add it to 72.

So, 131 is the answer.

131 inches. The yard to inches conversion is 1 yard=36 inches.

a customer wants to tip 15% on a restaurant bill that is $35.what will be th amount of tip?what is the total bill?

Answers

the tip is $5.25 hope i helped

Other Questions

Find the length of a base and its corresponding height of the triangle.

With which values of the argument the function acquires a value equal to144

Can I get some help on this question please, and a a explanation on how you got the answer too.

carla the baker worked for 5 hours to make cookies .she ended with 380 cookies altogether .write an equation to express how many cookies carla made each hour