Mathematics College

Laws of Exponents
Instruction Active
Simplifying Products and Quotients of Powers
7² 78
74
a=
=
79
75
-
75
b=

Laws Of ExponentsInstruction ActiveSimplifying Products And Quotients Of Powers7 7874a==7975-75b=

Answers

Answer 1

Answer:

a = 10 and b = 6

Step-by-step explanation:

I am having a little trouble reading the numbers, but I think that I see

[tex]\frac{7^{2} 7^{8} }{7^{4} }[/tex]

If we wrote this in expanded form, it would look like:

[tex]\frac{7x7x7x7x7x7x7x7x7x7}{7x7x7x7}[/tex]  How many 7s are on the top?  10  That is the answer to a.  The product of powers principle tells us that if we are multiplying powers with the same bases we add the exponents 2 + 8 = 10

[tex]\frac{^{10} }{7^{4} }[/tex]

Now it looks like

[tex]\frac{7x7x7x7x7x7x7x7x7x7}{7x7x7x7}[/tex]  if we cross the 7's out in the top and the bottom, we are left with 6 7's on the top.  That is the answer to b.

The quotient of powers principle tells us that if we are dividing powers with the same bases, we can subtract the exponents (10 -4 = 6)

Related Questions

graph the line by plotting any two ordered pairs with integer value coordinates that satisfy the equation y=−3x

Answers

The graph of the line is shown below

Graph of a Linear equation

From the question, we are to determine the graph of the line by plotting any two ordered pairs

First, we will find two ordered pairs on the line

y = -3x

When x = 1

y = -3x

y = -3(1)

y = -3

(1, -3)

When x = 2

y = -3x

y = -3(2)

y = -6

(2, -6)

Using the ordered pairs, the graph of the line is shown below

Learn more on Graph of linear equations here: https://brainly.com/question/4074386

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Plz help me, i will mark u brainliest!!!

Answers

Answer:

Step-by-step explanation:

To find out how much should he drive more = 7/8 - 1/8 = 6/8

6/8

Both have table of 2 in common so

3/4 is the simplest form

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

No. of remaining days = [tex]\frac{7}{8}[/tex] - [tex]\frac{1}{8}[/tex]

If the denominators are the same, you can directly do the working for the numerators while leaving the denominator alone.

[tex]\frac{7}{8}[/tex] - [tex]\frac{1}{8}[/tex] = [tex]\frac{6}{8}[/tex]

6 and 8 both have a common factor of 2, so we can further simplify this fraction.

[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Thus, he must drive for [tex]\frac{3}{4}[/tex] more days.

9+6d+c
whats the answer

Answers

Answer:

15d I think

Step-by-step explanation:

Because 9+6 is 15 and then you add the d to 25

Answer:

You can't solve this question unless you have an subject to solve for. This equation is in its simplest form.

If I got your question wrong, please leave a comment! :D As I might be wrong.

Stay safe and Merry Christmas! :)

The school is planning a field trip. there are 2652 students and 78 seats on each school bus. How many buses are needed to take the trip

Answers

2652÷78=34 so I think it's 34

-5/2(6x+24)=x-12

please answer me!

Answers

Answer:

x= -3

Step-by-step explanation:

i hope its right

This looks too hard for me sorry

What is HL? Trapezoid

Answers

Answer:

HL = 21

Step-by-step explanation:

HL is the midsegment of the trapezoid shown above. Thus, it follows that:

HL = (JK + GF)/2

JK = 12

GF = 2.5(JK) = 2.5(12) = 30

Plug in the values:

HL = (12 + 30)/2

HL = 42/2

HL = 21

Draw and label a figure for the following relationship.
YP lies in plane B and contains point C, but does not contain point H.

Answers

The diagram that shows plane B containing points C but doesn't contain point H is shown in the image attached below.

What is a Plane?

In geometry, a plane can be defined as a flat surface that has zero thickness, infinite width and length, and has no curvature.

Examples of real examples of a geometric planes are the flat surface of a paper, cuboid, cube, among others.

The plane in the diagram attached below is plane B that has YP as a line which contains point B. Point C also lies on plane B but is not contained by the line, YP.

Therefore, the diagram that shows plane B containing points C but doesn't contain point H is shown in the image attached below.

Learn more about plane on:

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Explain if the following is a proportional relationship: Sam used 6 gallons of gas to drive 50 miles and 4 gallons of gas to drive 100
miles.

Answers

Answer:

it's not a proportional relationship. ..............

The length of a rectangular floor is 5m longer than its width. The area of the floor is 84m^. What is the width of the floor? How about its length

Answers

Step-by-step explanation:

I give you answer later ..........

Answer:

The width is 16.8 m

Step-by-step explanation:

A = l * w

w = A/l

w = 84m^2 / 5m

w = 16.8m

please help me! math stuff

Answers

Answer:a is the answer hope it helped:)!.....

Answer:

C.

Step-by-step explanation:

64+56=120

189-120=C. $69

determine what doesn't lie in the domain of g(x)=square root 2x-7

Answers

For the function g (x) = √ 2 x - 7, the elements that are not included in the domain are ( - ∞, 3.5).

We are given a function:

g (x) = √ 2 x - 7

Now, we need to find what all does not lie in the domain of this function.

For this, we first need to find the domain of the function.

We know that, a square root cannot be negative.

So, we get that:

2 x - 7 ≥ 0

Add 7 to both the sides:

2 x - 7 + 7 ≥ 0 + 7

2 x ≥ 7

Divide both sides by 2:

2 x / 2 ≥ 7 / 2

x ≥ 3.5

Domain = x ≥ 3.5 = [3.5, ∞)

Elements not included in the domain = R - [3.5, ∞) = ( - ∞, 3.5)

Therefore, we get that, for the function g (x) = √ 2 x - 7, the elements that are not included in the domain are ( - ∞, 3.5).

Learn more about domain here:

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A 12 count box of Ouaker Instant Grits has a UPCof 00030000047606. What is the check number?
A)0
B)4
C)6
D)7

Answers

Answer:

6

Step-by-step explanation:

i need help quick please!!

Answers

5 toppings because

1.5*5= 7.5 7.5+10=17.5

and

1*5=5 5+12.5= 17.5

pizza a=1.5x+10

pizza b=1x+12.50

1.5x+10=1x+12.50

.5x+10=12.5

.5x=2.5

2.5/.5= 5

what is the product of -3 and a number s?

Answers

Answer:

-3s

Step-by-step explanation:

<3

What is the missing reason???

Answers

Given that,

AD is parallel to EC, BD is congruent to BC.

Solution,

Here,

[tex]\angle D=\angle C[/tex] = the reason for this is that the two angles are alternate interior angle. So, by alternate interior angle theorem [tex]\angle D=\angle C[/tex].

As [tex]\angle ABD=\angle EBC[/tex] = due to vertically opposite theorem

It means,

[tex]\triangle ABD \cong \triangle EBC[/tex] (angle-side-angle)

Hence, the correct option is (c).

[tex]\sqrt{18} is between which two whole numbers[/tex]

Answers

You need to find which two perfect squares is the sqrt{18} between.

sqrt{16} is a perfect square = 4

sqrt{25} is a perfect square = 5.

We conclude the sqrt{18} lies between the sqrt{16} and sqrt{25}.

Find the balance of the account.

$1600 at 5% for 1 year

This is simple interest btw. I also need a explanation too​

Answers

Answer:

$1680

Step-by-step explanation:

I = 5%

P = $1600

period = 1 year

$1600 + 15% = $1680

Answer:

$1680.

Step-by-step explanation:

The interest for 1 year = 1600 * 5%

= 1600 * 0.05

= $80.

So the new balance = old balance + interest

= 1600 + 80

= $1680.

Triangles XYZ and EFG are given and ΔXYZ≅ΔEFG by SAS. If YZ=2n−5, YX=2n−1, EG=n+8, and FG=n+5, then which of the following statements is true.

Answers

Answer:

ZY = 15

Step-by-step explanation:

ZY is congruent to GF, so you set the equation up as

2n-5 = n+5

   +5      +5

-----------------

2n = n+10

-n     -n

------------------

n = 10

After you get n, you plug it in to 2n-5 (ZY)

2(10)-5

20-5

15

ZY=15

PLZ SOMEONE, ANYONE HELP ME WITH THIS, IT IS TIMED AND MY MATH TECHER IS STRICT!!!

Answers

Answer:

a:

10

b:

-10 and 10

c:

8

Step-by-step explanation:

i could be wrong on c tho

i only have 4 options which are
38
40
42
46
i dont know which one to pick

Answers

I am getting 42 Vibbezzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Don’t worry about number three just tell me the answer to number 1

Answers

Answer        3 1 /2 in decimal it is -3.5    

Step-by-step explanation:

7) What is the equation of a circle with the center (-8, 9) and the radius of 10?​

Answers

Answer:

(x+8)² + (y - 9)² = 100

Step-by-step explanation:​

The general equation of a circle is expressed as;

(x-a)² + (y - b)² = r² where;

(a, b) is the centre of the circle

r is the radius

Given

Centre (-8, 9) where a = -8, b = 9

radius r = 10

Substitute into the formula to get the required equation;

(x-(-8))² + (y - 9)² = 10²

(x+8))² + (y - 9)² = 10²

(x+8)² + (y - 9)² = 100

Hence the required equation is (x+8)² + (y - 9)² = 100

Is 0.46 terminating number

Answers

Answer:

Yes because the decimal doesn't go on forever

Answer:

Yes

Step-by-step explanation:

0.46 is a terminating number because it has a finite number of decimal digits. Hence the name terminating, there is a terminated or ending to the decimal.

Convert (1/3)^x=27 to logarithmic form, with work worked out!

Answers

[tex] {a}^{x} = m \\ log_{a}(m) = x[/tex]

[tex]( \frac{1}{3} )^{x} = 27 \\ log_{ \frac{1}{3} }(27) = x[/tex]

That's the logarithmic form. Do you need with solving the equation too?

I share wwe smackdown ​

Answers

Answer:

Ok..

Step-by-step explanation:

Answer:

It’s fake

Step-by-step explanation:

Please answer this correctly without making mistakes

Answers

the 20% off coupon will save Manny more money

You buy rice at $0.71 a pound. One batch of rice requires 7 pounds of rice. How much does the rice for one batch cost? Round to the nearest cent

Answers

Answer:

4.97 or 5 dollars

Step-by-step explanation:

so basically just times them together

Which of the following is a linear function?

Answers

Answer:

C

Step-by-step explanation:

the only it has constant rate of change (slope, gradient or derivative at every point is equal)

Hi help me please wit the equation i need help

Answers

Answer:

the y-intercept is (0,8)

Each of the 27 turtles in the pet store needs to be fed. There is one bag of turtle food that weighs 84 ounces. If each turtle gets the same amount of food, how many ounces of turtle food will each turtle get?

3 ounces
3.1 ounces
3.ModifyingAbove 1 with bar
3.12 ounces

Answers

Answer:

3.1 Modifying Above 1 with bar is the correct answer .

Answer: 3.1 modifying ounces

Step-by-step explanation:

84/27 = 3.11111111

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