Which applies the power of a power rule properly to simplify this expression?

Which Applies The Power Of A Power Rule Properly To Simplify This Expression?

Answers

Answer 1

Answer:

D.

Step-by-step explanation:

[7^(-8)]^(-4) =

A power raised to a power: multiply the exponents.

= 7^[(-8)*(4)]

= 7^(32)

Answer: D.

Answer 2

Answer:

7^32, the fourth option

Step-by-step explanation:

For the power rule, if you have a number to a power, for example [tex]x^{a}[/tex] and raise it to another power so it becomes, [tex](x^{a} )^{b}[/tex], We simplify by multiplying the powers together. So the simplified answer would be [tex]x^{(a*b)}[/tex].


Related Questions

Find the sum of the second multiple of 9 and the fifth multiple of 6.​

Answers

Answer:

48

Step-by-step explanation:

9,18

6,12,18,24,30

18 + 30 = 48

Please help me with this

Answers

2x^2 -7x + 14 =0 is the standard form

result of 5 and 75 with dividid by 3

Answers

Answer:

your answer is 30

Step-by-step explanation:

I hope this help

Use the diagram. Solve for p.

Answers

Answer:

A the first one.

Step-by-step explanation:

Wy = 28

WX = 12

XY = WY - WZ

XY = 28 - 12

XY = 16

4P = 16

P = 16/4

P = 4

please help me out :)

Answers

Answer:

534.0707511

Step-by-step explanation:

Answer:

534.07

Step-by-step explanation:

2 π r h +2 π =2π512 + 2π5² 534.0

I hope this will help you if not then sorry i have tried :)

7
Setting 3 equal to which ratio would result in a valid proportion?
9
49
18
42
织但

Answers

Answer:

000

Step-by-step explanation:

000

What’s the sum in the diagram, a + b + c =

Answers

Answer:

Answer is 360 degrees

Step-by-step explanation:

The sum of the exterior angles of a triangle is 360°.

Answer: 360 degrees

Step-by-step explanation:

You know that in a triangle is 180 degrees. In the diagram, the figure shows a, b, and c, outside of the triangle. Also, the a, b, and c makes a circle. The circle is 360 degrees, so when you add a, b, and c that will equal 360.

can y’all help me out

Answers

Answer:

B: y = {-13, -5, 3, 15}

Step-by-step explanation:

Let's plug each x-value into this equation: f(x) = 4x + 3

Domain: {-4, -2, 0, 3}

First, let's start with -4:

f(x) = 4x + 3

y = 4x + 3

y = 4(-4) + 3

y = -16 + 3

y = -13

Next, let's do -2:

f(x) = 4x + 3

y = 4x + 3

y = 4(-2) + 3

y = -8 + 3

y = -5

After that, let's do 0:

f(x) = 4x + 3

y = 4x + 3

y = 4(0) + 3

y = 0 + 3

y = 3

Finally, let's do 3:

f(x) = 4x + 3

y = 4x + 3

y = 4(3) + 3

y = 12 + 3

y = 15

Now that we have all our y-values, let's set up the range:

Range (y-values): {-13, -5, 3, 15}

As you can see, the only answer choice that includes this range is B;

{-13, -5, 3, 15}.

The formula for the lateral surface area of a cone—that’s the surface that isn’t the base—is π × r × sqrt(h² + r²); h is the height of the cone and r is the radius of its base. A circular #2 pencil is 6 mm in diameter, and a pencil sharpener creates a cone-shaped end that is 20 mm in height. Find the surface area of the sharpened part of the pencil.

Answers

Cool cool cool cool cool cool get yo

Aman age is 2 times of his son's age after 5 years sum of their age will be 70 find their present age ​

Answers

Answer:

aman's son's age = 20

aman's age = 40

Step-by-step explanation:

let aman's son's age be x

aman's age = 2x

2x+5+x+5 = 70

3x+10=70

3x = 60

x = 20

2x = 40

THE LOGO SHOWN BELOW HAS A TOTAL AREA OF 125cm² AND THE SQUARE HAS SIDE LENGTH 5cm.CALCULATR THE WIDTH OF THE LOGO.

Answers

Answer:

Please show an image

Which of the following is the discriminant of the polynomial below?
X2 +6X+8
A. 8
B. 6
C4
D. 26

Answers

X2 + 6X +8
the answer is C. 4

Copy and complete the table.

Answers

Answer:

See pic below.

Step-by-step explanation:

100 divided by 3.2 Thank u

Answers

Answer:

31.25

Step-by-step explanation:

125/4

= 31.25

HELP PLEASE!!!
Find the length of AB.
А.53.74
B.26.05
C.96.95
D.84.79

Answers

Answer:

Step-by-step explanation:

Sin 61  = 47/X

(X=AB)

X = 53.73764119

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is A.

What is Sine (Sinθ)?

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. It is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

In the given triangle, for ∠B we can write the perpendicular is 47, and the hypotenuse is AB.

Using the Sine ratio for the angle B, we can writte,

Sin(∠B) = AC/AB

Sin(61°) = 47/AB

AB = 53.74 units

Hence, the correct option is A.

Learn more about Sine:

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An angle measures 89.8° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Complementary angles always are 90 degrees when added to each other, so:

x = angle 1

x + 89.8 = angle 2

x + x + 89.8 = 90

2x = 90 - 89.8

2x = 0.2

x = 0.1

angle 1 = 0.1 degrees

angle 2 = 0.1 + 89.8 = 89.9 degrees

if you want to check, just sum one to the other and see if they equal 90, like this: 89.9 + 0.1 = 90

Tìm nghiệm của đa thức sau:2x mũ 2-5x-3

Answers

bạn tham khảo cách này nha

5.
Krishna got on an elevator on the 12" floor and went up 3 floors. If he then went down 8 floors,
what floor is krishna now on?​

Answers

Answer:

Krishna is at the 7th floor

Step-by-step explanation:

Given

[tex]Start = 12[/tex]

[tex]Up = 3[/tex]

[tex]Down = 8[/tex]

Required

The current floor

This is calculated as:

[tex]Floor = Start + Up - Down[/tex]

[tex]Floor = 12 + 3 - 8[/tex]

[tex]Floor = 7[/tex]

If patient's current ledger balance is $238.00, the patient's fees for today are $117 and the patient paid $100.00 today, what is the patient's new balance:

Answers

Answer:

$138

but if the 117 was paid it would be $21

Step-by-step explanation:

The patient's new balance is $255

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

Patient's current ledger balance = $238.00

The patient's fees for today = $117

The patient paid $100.00 today

Now, balance including todays pay= $238.00+$117

=$355

Patient payed 100 so,

=355-100

=255

Therefore, the answer of this algebraic problem will be $255

More about the Algebra link is given below.

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what is 10 5/8 - 8 2/7

Answers

Answer:

2 19/56 is the answer.

Step-by-step explanation:

10 5/8 - 8 2/7

or, 85/8 - 58/7

or, (595-464)/56

or, 131/56

= 2 19/56

I NEED HELP PLEASE.....................................

Answers

Answer:

No

Step-by-step explanation:

The Rectangle A is occupied by 5 unit Squares on its length and 3 unit Squares on its width .....and we know one unit square in a grid is equal to 1 cm

hence.......A=L×W

Area = 5 unit Squares ×3 Unit Squares

Area of A= 15 unit Squares .

The Square B is occupied by 3 unit Square on each side thus.....Area =S×S

Area of B = 3 unit Squares × 3 Unit Squares

Area of B = 9 unit Squares.

Hence the answer is no ....9 isn't the double of 15

Find the missing segment in the image below

Answers

Answer:

? = 42

Step-by-step explanation:

24/8 = ?/14

cross mult

24/8 = x/14

336=8x

x = 42

Which table of ordered pairs represents a proportional relationship?
plss help!

Answers

the second graph because 2x5=10, 4x5=20, 6x5=30!

Help: A marching band is rehearsing. 4/5 of the marching band members play percussion instruments. 4/6 of the percussionists play the snare drum. What fraction of all the band members play the snare drum.

Answers

Answer: 1.2/5 Marching band members play the snare drum.

Step-by-step explanation:

4/5 Band Members Play Percussion Instruments. (80%)

4/6 Play The Snare Drum. (66% of the 80%)

1/5 Band Members Do NOT play percussion. (20%)

80 - 66 = 14%

14 + 20 = 24%

1/5 = 20%

1.5/5 = 30%

1.2/5 = 24%

1.2/5 Marching band members play the snare drum.

For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).

-7x + 8, -12x + 12, -17x + 16, . . .

Possible anwers:
-5x + 4
5x + 4
-5x - 4
5x-4

Answers

Answer:

The first one is the answer.

Step-by-step explanation:

It's an arithmetic sequence. It has a common difference.

d = an - a_n-1

an = -12x + 12

a_n-1 = - 7x + 8

d = -12x + 12 - (-7x + 8)

d = -12x + 12 + 7x - 8

d = -5x + 4

Try  it. Let's try for the third term

-12x + 12 - 5x + 4

- 17x + 15 which is exactly what the third term is.

20 laborers can complete the construction of building in 24 days .In how many days
would 16 laborers complete the construction?
7. In a survey of 468 tourists who visited Nepal during visit Nepal 2020 it was found that
275 visited Rara ,300 visited Bardiya and 56 tourist do not visit both the place .
(i) How many tourists were there who visited Rara as well as Bardiya ?
(ii) Represent the above information in venn diagram.
8. Two numbers are in the ratio 7:5 .When 10 is subtracted from each term their ratio
becomes 3:2.Find the numbers.

Answers

Answer:

20=24

8. =? Cross multply

Can anyone help me with this?

Answers

8.6

Answer:

Solution given:

[tex]\bold{\sqrt{74}=8.60232526704≈8.6}[/tex]

Answer:

[tex]8.6[/tex]

Step-by-step explanation:

Step 1:  Find the approximate value of [tex]\sqrt{74}[/tex]

[tex]\sqrt{74}[/tex]

[tex]\sqrt{74}[/tex] ≈ [tex]8.6[/tex]

Answer:  [tex]8.6[/tex]

Instructions: Find the measure of the indicated angle to the nearest degree.
4
?
16

Answers

Answer:

Sinx=4/16=1/4

x=Sin^-1(1/4)

? =14.47°

OAmalOHopeO

The measure of the unknown angle is approximately 14°.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjacent/hypotenuse and

tan = opposite/adjacent.

From, The given diagram, With respect to the reference unknown angle,

the opposite side is 4 units and the hypotenuse is 16 units.

We know, sin = opposite/hypotenuse.

Therefore, sinФ = 4/16.

sinФ = 1/4.

Ф = sin⁻¹(1/4).

Ф = 14°.

learn more about trig ratios here :

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Can anyone help me with this it’s question 2 help please

Answers

Answer: 2x³ + 2x² + 36

Working:

= (2x + 6) × (x² - 2x + 6)

= 2x³ - 4x² + 12x + 6x² - 12x + 36

= 2x³ -4x² + 6x² +12x -12x +36

= 2x³ + 2x² + 36

Answered by Gauthmath must click thanks and mark brainliest

I cannot see your question it’s blurry send me it

for f(x)= -4x + 5, find f(x) when x = -2.

Answers

Answer:

13

Step-by-step explanation:

f(x)= -4x + 5

Let x = -2

f(-2) = -4(-2) +5

      = 8+5

     = 13

Step-by-step explanation:

x = - 2

f ( x ) = - 4x + 5

f ( - 2 )

= - 4 ( - 2 ) + 5

= 8 + 5

= 13

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