law of indices , show working
1. 10^8 × 10^4

2. (11^5)^4

3. 8^6 ÷ 8^3

4. (12^2) × 12^4

5. (13^4) ÷ 13^5

6. (5^2 × 5^3) ÷ 5^4

7. 18^4 ÷ 18^6

8. (19^2)^4 ÷ 19^8​

Answers

Answer 1

Answer:

Below.

Step-by-step explanation:

1. 10^8 × 10^4 = 10(8+4) = 10^12.

2. (11^5)^4 = 11^(5*4) = 11^20.

3. 8^6 ÷ 8^3 = 8^(6-3) = 8^3.

4. (12^2) × 12^4 = 12^6.

5. (13^4) ÷ 13^5 = 13^(4-5) = 13^-1.

6. (5^2 × 5^3) ÷ 5^4 = 5^5 / 5^4 = 5.

7. 18^4 ÷ 18^6 = 18^-2.

8. (19^2)^4 ÷ 19^8​ = 19^8 / 19^8  = 18^(8-8) = 18^0 = 1.


Related Questions

simplify 2 by 5 into 4 by 7 + 21 by 35​

Answers

Solution:

[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]

Answer:

[tex] \frac{29}{35} [/tex]

Hope it helps.

Do comment if you have any query.

Audrey has a pet-sitting service. She uses the following inequality to determine how many pets she can care for at one time, where d represents the number of dogs and c represents the number of cats. 10 + 15 < 60. A graph of the inequality is shown. Explain and interpret the meaning of the point in the graph

I missed a few days of school and I don't know how to do this problem is there any way anyone could walk me through this or show me how they got the answer?

Answers

Answer:

Step-by-step explanation:

-9y + 8(4z + 3y) -6x


PLZ HELP

Answers

Answer:

15y + 32z - 6x

Step-by-step explanation:

-9y + 8(4z + 3y) -6x

=> -9y + 32z + 24y - 6x

=> 15y + 32z - 6x

Hoped this helped.

Answer: 32z+15y-6x

Step by step:

-9y+8(4z+3y)-6x

-9y+32z+24y-6x

15y+32z-6x

32z+15y-6x

3w-4z=8
2w+3z= -6
What is w and z for these two equations?

Answers

The w is 0 and z is -2.

6. (4. 1) and (1, 4) are on the line

Answers

Answer: This is used by

Step-by-step explanation:

micheal-anthony and jocelyn are both running around the track at school. michael-anthony runs 3 miles in 20mins and continues running at this pace for 1 hour. jocelyn runs 4 miles in 30 mins and continues running at this pace for1 hour. how many miles does each person each person run in an hour? who runs faster?

explanation is needed

Answers

The number of miles each person runs after an hour is;

Michael Anthony = 9 miles

Jocelyn = 8 miles

The person that runs the fastest is;

Michael Anthony with a speed of 0.15 miles per minute.

Michael-Anthony runs 3 miles in 20 minutes

Now formula for speed is;

Speed = distance/time

Thus;

Speed of Michael Anthony = 3/20 miles per minute = 0.15 miles per minute

Thus, in 1 hour = 60 minutes,

Distance covered = 3/20 × 60

Distance covered = 9 miles

Jocelyn runs 4 miles in 30 minutes

Speed of Jocelyn = 4/30 = 0.133 miles per minute

Distance covered by Jocelyn in 1 hour = 60 minutes is; 0.133 × 60 = 8 miles

Read more about distance, time and speed relationship at; https://brainly.com/question/3267354

HELP PLZ !!
The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)

Answers

Answer:D

Step-by-step explanation:

The distance from Jason's house to school is 0.9 kilometer. What is this distance in meters?

The distance from Jason's house to school is
meters.

Answers

Answer:

900 meters

In 0.9 move the decimal two times to the right

That makes it 900 meters

(Picture provided)

Helppppppp plsss

Answers

Answer:

100 degrees

Step-by-step explanation:

at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.

FOR A BRAINLIST PLS HURRY

Answers

Answer:

y = x

Step-by-step explanation:

line has a slope 1 and passes through the origin . So the equation is y = x

Miko wants to build a toy
box for her sister. It is to be 2 feet high,
and the width is to be 3 feet less than its
length. If it needs to hold a volume of
80 cubic feet, find the length and width
of the box.

Answers

Answer:

kk

Step-by-step explanation:

The answer is 13 because 2 times 3 equals 6 and 80 divided by 6 equals 13

The circumference of a circle is 20pi m. find its diameter,in meters

Answers

Answer:

20 m

Step-by-step explanation:

Circumference formula:

C = πd

Substitute and solve for d:

20π = πdd = 20π/πd = 20

In the equation y=14x what is the constant of proportionality.

Answers

14

Step by step explanation:

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

Answer:

The slope of this line is y=3x-3

Step-by-step explanation:

(I'm not sure but is the line on the point(1,0)? or is it past that point?)

Jillian was able to fill exactly 4 paper cups from 24 ounce bottle .At what rate how many cups can she expect to fill from a 66 ounces bottle?

Answers

Answer:

11 cups

Explanation:

24/4 = 6

66/6 = 11

Find the area of a circle with a circumference of
units.

Answers

[tex]A = \frac{ {C}^{2} }{4\pi} \\ [/tex]

This is the formula for circumference of circle

B. Company P calculates the earnings of employee, E, for working h hours using the equation E = 8.25h.

Answers

Answer:

Step-by-step explanation:

Find a job that uses trigonometry. Include an image depicting the job and a description of how the trigonometric concepts learned in this module are used in the job.

Answers

Engineering

In engineering you need to determine the structure of shapes, buildings.The distance from base to building top total length of carpets,the settings of CCTV cameras for perfect view you need trigonometric functions like sin ,cos,tan etc

Find the perimeter. Simplify your answer.

Answers

Answer:

4

Step-by-step explanation:

yeah-ya........ right?

The perimeter of the triangle is 2(12c - 7).

What is a triangle?

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.

What is the perimeter of the triangle?

Perimeter = 7c - 5 + 7c - 5 + 10c - 4

24c - 14

2(12c - 7)

To learn more about a triangle, please check: https://brainly.com/question/9329354

HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

You would multiply 25 x 6 and then add 70. So the answer is 220

If y + 6 = 45, then y = 39

Answers

Answer:

True!

Step-by-step explanation:

What is the perimeter, in meters (m), of ∆PRT?

Answers

The perimeter of a triangle is the sum of its dimensions

The perimeter of triangle PRT is 36 meters

Start by calculating the side length PT using the following equivalent ratios

[tex]\mathbf{QR : QS = PR :PT}[/tex]

So, we have:

[tex]\mathbf{3 : 8 = 6 :PT}[/tex]

Multiply 3 : 8 by 2

[tex]\mathbf{6 : 16 = 6 :PT}[/tex]

By comparing the ratios, we have:

[tex]\mathbf{PT = 16}[/tex]

So, the perimeter of triangle PRT is calculated using:

[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]

Substitute values for PR, RT and PT

[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]

Add up the figures

[tex]\mathbf{Perimeter = 36}[/tex]

Hence, the perimeter of triangle PRT is 36 meters

Read more about perimeters at:

https://brainly.com/question/6465134

Elizabeth bought 6 lipsticks for $15. How many lipsticks can be bought for $60

Answers

Answer:

4 lipsticks

Step-by-step explanation:

15+15=30, 30+30=60

answer dis please

Aiko3han owo

Answers

Answer:

b

Step-by-step explanation:

What is 1+1?
I really need this answer i dont know it

Answers

Answer:

2

Step-by-step explanation:

Athlete A rode her bike 2.5 miles. Athlete B rode her bike 3 miles. How many more feet did Athlete B ride than Athlete A?

Answers

2540 feet
You would have to get the number of feet in each mile which in 3 miles would be 15840 then find how many feet in 2.5 which would be 13200. To get this answers you would have to use the equation 5280x3 for the 3 miles and 5280x2.5

The arithmetic sequence 2, 4, 6, 8, 10,. . . Represents the set of even natural numbers. What is the 100th even natural number? a100 = What is the sum of the first 100 even natural numbers? S100 = Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is the sum of the first 101 odd natural numbers.

Answers

The 100th even natural number is 200

Given the sequence 2, 4, 6, 8, 10....

The nth term of the sequence is expressed as:

Tn  = a + (n - 1)d

a is the first term = 2

d is the common difference = 4 - 2 = 6 - 4 = 2

n is the number of terms

Substitute the given parameters into the formula

Tn = 2(n-1)2

Tn = 2+(2n - 2)

Tn = 2n

Get the 100th term

T10=  2(100) = 200

Hence the 100th even natural number is 200

Learn more on AP  here: https://brainly.com/question/24072079

Answer:

1)

200

2)  

10100

3)

less than

Step-by-step explanation:

on god

M*(x+y)+4y/(x^2-xy-y^2)=(x+2y)/(x^2-xy-Y^2),find the value of M

Answers

Answer: M  = [tex]\frac{x-2y}{x+y}[/tex]  

Step-by-step explanation:

[tex]\frac{M(x+y)+4y}{x^{2}-xy-y^{2} } =\frac{(x+2y)}{x^{2} -xy-y^{2} }[/tex]

M (x + y) + 4y = x + 2y (Multiply [tex]x^{2} - xy-y^{2}[/tex] in both sides)

M (x + y)  = x + 2y - 4y

M (x + y)  = x - 2y  (Divide (x+y) from both sides)

M  = [tex]\frac{x-2y}{x+y}[/tex]  

A middle school has 212 people. 188 are students. The rest are adults. What is the ratio of students to adults? Write your ratio in three different forms.

Answers

Answer:

24 adults

Step-by-step explanation:

because it's just subtract 212-188=24

I think

Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?

Answers

Answer:

y = - 4 x + 20

Step-by-step explanation:

The trail is 20 miles

Each hour you go 4 miles, so you subtract that each hour

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