Find the value of the following expression

(2^8 5^-5 19^0) x [5^-2 over 2^3]^4 x 2^28 (5 points)

Write your answer in simplified form. Show all of your steps. (5 points)

Answers

Answer 1

Looks like the expression is

(2⁸ • 5⁻⁵ • 19⁰) • (5⁻² / 2³)⁴ • 2²⁸

First, any positive number raised to 0 is 1:

(2⁸ • 5⁻⁵ • 1) • (5⁻² / 2³)⁴ • 2²⁸

(2⁸ • 5⁻⁵) • (5⁻² / 2³)⁴ • 2²⁸

Exponents in a denominator can be rewritten as negative exponents in the numerator:

(2⁸ • 5⁻⁵) • (5⁻² • 2⁻³)⁴ • 2²⁸

Distribute the 4th power across the product 5⁻² • 2⁻³ :

(5⁻² • 2⁻³)⁴ = 5⁻⁸ • 2⁻¹²

so we have

(2⁸ • 5⁻⁵) • (5⁻⁸ • 2⁻¹²) • 2²⁸

Multiplication is associative, so we can ignore the parentheses. Combine factors with equal bases and simplify the exponents:

2⁸ • 5⁻⁵ • 5⁻⁸ • 2⁻¹² • 2²⁸

2⁸⁻¹²⁺²⁸ • 5⁻⁵⁻⁸

2²⁴ • 5⁻¹³

Rewrite the negative exponent as a positive one:

2²⁴ / 5¹³


Related Questions

In 12 hours , the temperature fell steadily from 17F to -7F. What was the change in temperature

Answers

Answer:

the change was 24F

Step-by-step explanation:

A family wanted to stay in a hotel for 4
days. The hotel charges $60 a night. What is the
total they will pay?

Answers

Answer:$240

Step-by-step explanation:

That answer is 240.00 because $60 times 4 equals 240

4/9 is equivalent to 8/18 ?

Answers

Answer:

yes

Step-by-step explanation:Because if you  divide 8/18 by 2 you get 4/9 so yes

Answer:

Yes.

Step-by-step explanation:

4/9 IS equivalent to 8/18. If you simplify 8/18 it is equal to 4/9, therefore they have the same value.

Hope this helps, have a good day :)

What term is defined by the formula?

Answers

The answer is b ...................................

The ratio of fish to snails is 3 to 2. There are 18 fish in the aquarium. How many snails are in the aquarium ?

Answers

Answer: 12 snails

Step-by-step explanation:

what are the possible degrees for the polynomial function

Answers

Answer:

Degree of the polynomial function = 5

Step-by-step explanation:

Since, the given graph of a polynomial has the x-intercepts at x = -2, -0.5, 0.5, 1.5, 3

Therefore, the equation of the polynomials with zero roots will be,

y = (x + 2)(x + 0.5)(x - 0.5)(x - 1.5)(x - 3)

When we solve this expression highest degree of the variable x will be 5.

Therefore, the possible degree of the polynomial function = 5

Answer:

i was going to screenshot the answer bc i got it right but its

"odd 5 degrees or greater" :)

hope all you guys are healthy and safe

Drilon got 63 out of 72 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.​

Answers

Answer:7/10

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

He got 63/72 correct.

Since he got 9 wrong (72-63).

Fraction of wrong answers = 9/72

Which is equal to 1/8.

Mr. Desario wrote the equation y = −3x + 7 on the board and drew the graph shown below.

Answers

Answer:

ok what do you want help with?

Step-by-step explanation:

What is the distance between the points 4 and -5 on a number line?

Answers

Answer:

9

4--3--2--1--0--1--2--3--4--5

Positive        Negative

Step-by-step explanation:


So given a rectangle with a perimeter of 40, and
a length 7, what is the width?

Answers

Answer:

13

Step-by-step explanation:

7 x 2=14

40-14=26

26/2=13

Answer:

40 - 14 = 26

26/2 = 13

The width is 13


PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

2/5 or .4

Step-by-step explanation:

basically look at the points where the line meets the graph. two points would be 0,20 and 50,40. then count the amount that it changes vertically and then horizontally. +20vertical +50 horizonal giving the slope 20/50. this can then be simplified to 2/5 or the equivalent number .4

Answer:

If I remember correctly, the slope would be 2/5.

if g(x)=4x+14, what is g(x-3)

Answers

Here you go! Hope this helps!

A baker has three banana muffin recipes. Recipe A uses 3 bananas to make 12 muffins. Recipe B uses 5 bananas to make 24 muffins. Recipe C uses 1 banana to make 48 muffins.
Order the recipes by the number of bananas per muffin from least to greatest.

Answers

Answer:

Step-by-step explanation:

3/12=1/4, which means 1 banana per muffin

5/24=4.8, which means 5 bananas per muffin

1/48, which means 1 banana per 48 muffins

simplify [tex]\sqrt{-121}[/tex]

Answers

Answer:

You cannot simplify because you cannot square root a negative.

Solve the inequality: -2.2p > -8.8

Answers

Answer:

Less than -4

Step-by-step explanation:

negative numbers multiplied by negative numbers= positive numbers

so less than -4 makes the sum greater

Answer:

p<4

Step-by-step explanation:

REASON: The four has an open circle and it's four greater than the number/variable

~~Hope this helps~~

Large chocolate bar has a base area of 48.96 square feet and its length is 0.6 foot shorter than twice its width. Find the length and width 

Answers

Answer:

Length=9.6

Width=5.1

Step-by-step explanation:

Step one:

given data

for the large chocolate

Area=48.96ft^2

let the width be x

w=xft

let the length be l

l=(2x-0.6)

Step two:

we know that area A=length * width

48.96=(2x-0.6)*x

48.96=2x^2-0.6x

2x^2-0.6x-48.96=0

divide through by 2 we have

x^2-0.3x-24.48=0

solving the quadratic equation, the roots are

x=5.1

x=-4.8-----not correct cannot be -ve

so x=5.1

the width is 5.1

the length = 2(5.1)-0.6

l=10.2-0.6

l=9.6

check Area= 9.6*5.1= 48.96

The length and the width of the bar are 6.7ft and 7.3ft respectively

The formula for calculating the volume of the chocolate bar is expressed as:

V = Base area * height

Given the following parameters

Base area = 48.96 square feet B = length * width48.96 square feet = lw

If the length is 0.6 foot shorter than twice its width, hence;

l = w - 0.6

The expression becomes;

[tex]48.96 = w(w-0.6)\\48.96 = w^2 - 0.6w\\w^2 - 0.6w - 48.96 - 0[/tex]

On factorizing the result, w = 7.3ft

Recall that l = w - 0.6

l = 7.3 - 0.6

l = 6.7ft

Hence the length and the width of the bar are 6.7ft and 7.3ft respectively.

Learn more here: https://brainly.com/question/2607596

rewrite 5\11 and 3\7 so that they have common denominator

Answers

Answer:

It would be 35/77 and 33/77

Step-by-step explanation:

You multiply the denominators until they are equal

Calculate the slope between the points: (4, 5) and (7, 9)

Answers

Answer:

m=4/3

Step-by-step explanation:

the slope is equal to 4/3

The slope between the points: (4, 5) and (7, 9) is 4/3.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Points (4, 5) and (7, 9)

so, the slope is

slope = (9-5)/ (7-4)

slope = 4 /3

slope = 1.333

Hence, the slope is 4/3.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Stefan sells Jin a bicycle for ​$149 and a helmet for ​$16. The total cost for Jin is ​150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

55

Step-by-step explanation:

149+16=165, 165/150=1.1, 1.1*100=110, 165-110=55

Answer:

55

Step-by-step explanation:

i used a calculator cause IK the equation but I couldn't get the right answer

Work out the length x pls ​

Answers

Answer:

~17.67

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

7.5^2+16^2=c^2

~17.67

Answer:

Step-by-step explanation:

We use pythagorus theorem which is; a²+b²=c²

(16cm)²+(75/10cm)²=x²

256cm²+225/4cm²=x²

1249/4cm²=x²

√1249/4cm²=√x²

312.25cm=x

Jared is 10 years old. His brother Peter is 15 years old. What are some chewy fruit worms they can share without having to make new cuts?

Answers

Answer:

gummy worms

Step-by-step explanation:

If you are trying to make an equal amount of distributed chewy fruit worms, then any number that is even will be okay, if they are only two people, and age doesn't really matter, unless one of them as some sort of age-induced medical problem or a sugar deficiency.

MARKING PEOPLE AS BRAINLIST

Answers

Answer:

d

Step-by-step explanation:

Answer: The correct answer is D or number 4.

Step-by-step explanation:

I hope that this helped :)

science pls help I give brainliest

Answers

Answer:

the answer is the third one

Step-by-step explanation:

Answer:

 c snow sleet and hail

Step-by-step explanation:

rain snow sleet ice

what is (40x33)+(4)x4??
Good luck

Answers

Answer:

1336

PLZ let me know if im wrong!!!

WILL GIVE BRAINLIEST!! NEED ANSWERS!! Equations. 1. 4x-2-2x-6= -20
2. 3x+2-x+4= -14
3. 5x+6-4x-2=16
4. x+2+x+3=18
5. -2x-4+4x+2= 14
6. -3x= -9
7. -2x = 10
8. x+4 = 16
9. x-2= -15

Answers

Answer:

1. x = -6

2. x = -10

3. x = 12

4. x = 13/2 (can be rewritten as 6 1/2 or 6.5)

5. x = 8

6. x = -3

7. x = -5

8. x = 12

9. x = -13

HELP PLEASE 15 [POINTS]

Answers

Answer:

A

Step-by-step explanation:

I just used Pythagorean Theorem for this one

I hope this helps!!

A lab technician cuz a 12 inch piece of tubing into two pieces in such a way that one piece is two times longer than the other

Answers

The question is not complete. I have assumed you want to calculate the length of each piece.

Answer:

The shortest piece is 4 inches long

The longest piece is 8 inches long

Step-by-step explanation:

Equations

One piece of tubing is two times the other.

Let's call

x=the shortest piece of tubing

2x=the longest piece of tubing

The total length of the piece of tubing is 12 inches, thus:

x + 2x = 12

Simplifying:

3x = 12

Dividing by 3:

x = 12 / 3 = 4

x=4, and 2x=8, thus:

The shortest piece is 4 inches long

The longest piece is 8 inches long

Find the slope of the linear function that passes through the points (−1, 5) and (8, 11).

Answers

Answer:

6 over  9

Step-by-step explanation:

y2-y1 over x2-x1

Felicia has grown five pumpkins. The first is 25.34 pounds. The second
weighs 10.23 pounds less than the first. Both the third and fourth pumpkin
are 13.2 pounds. If the combined weight of the pumpkins is 71.87 pounds,
how much does the fifth pumpkin weigh?

Answers

Answer:

5.02

Step-by-step explanation:

What is the mean of integers
-16,-27,21,-19,14,-3
-

Answers

Answer:

-5

Step-by-step explanation:

-16+(-27)+21+(-19)+14+(-3)/6

-30/6

=-5

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