simplify and leave your answer with positive index
2^n-4×16^1+n
/
8^-n×4^-4n​

Answers

Answer 1

Answer:

2¹⁶ⁿ

Explanation:

2ⁿ¯⁴ × 16¹⁺ⁿ / 8¯ⁿ × 4¯⁴ⁿ

The above expression can be simplified as follow:

2ⁿ¯⁴ × 16¹⁺ⁿ / 8¯ⁿ × 4¯⁴ⁿ

Recall:

16 = 2⁴

8 = 2³

4 = 2²

Thus,

2ⁿ¯⁴ × 16¹⁺ⁿ / 8¯ⁿ × 4¯⁴ⁿ

= 2ⁿ¯⁴ × 2⁴⁽¹⁺ⁿ⁾ / 2³⁽¯ⁿ⁾ × 2²⁽¯⁴ⁿ⁾

= 2ⁿ¯⁴ × 2⁴⁺⁴ⁿ / 2¯³ⁿ × 2¯⁸ⁿ

Recall:

Mᵃ × Mᵇ = Mᵃ⁺ᵇ

2ⁿ¯⁴ × 2⁴⁺⁴ⁿ / 2¯³ⁿ × 2¯⁸ⁿ

= 2⁽ⁿ¯⁴⁾⁺⁽⁴⁺⁴ⁿ⁾ / 2¯³ⁿ⁺⁽¯⁸ⁿ⁾

= 2ⁿ¯⁴⁺⁴⁺⁴ⁿ/ 2¯³ⁿ¯⁸ⁿ

= 2⁵ⁿ / 2¯¹¹ⁿ

Recall:

Mᵃ / Mᵇ = Mᵃ¯ᵇ

2⁵ⁿ / 2¯¹¹ⁿ = 2⁵ⁿ¯⁽¯¹¹ⁿ⁾

2⁵ⁿ / 2¯¹¹ⁿ = 2⁵ⁿ⁺¹¹ⁿ

2⁵ⁿ / 2¯¹¹ⁿ = 2¹⁶ⁿ

Therefore,

2ⁿ¯⁴ × 16¹⁺ⁿ / 8¯ⁿ × 4¯⁴ⁿ = 2¹⁶ⁿ


Related Questions


What does the following figure illustrate?
A. Diffraction
B. Refraction
C. Resonance
D. Interference

Answers

the answer to this question is C

Answer:

the answer would be c sry if it is wrong

1. What is voltage, and what is its relationship to amperage and power?

Answers

Answer:

Electric frying

Explanation:

To fry food on a old broken down electric oven

Power can be defined as the rate at which ______ is changed

A. Height
B. Velocity
C. Mass
D. Energy​

Answers

It’s d energy because it’s referring to power changing because the power unit is (J/s) joule per second known as watt which is the same as implieing power

Can someone complete this assignment will give brainliest!
The assignment is attached

Answers

... I can’t see the attached assignment that you put on here.

What are the 3 types of POTENTIAL ENERGY?​

Answers

Answer:

nuclear chemical gravitational

how do you find the kinetic energy of an object? ​

Answers

Answer:

KE = 1/2 * m * [tex]v^{2}[/tex]

Explanation:

use the formula:

KE = 1/2 * m * [tex]v^{2}[/tex]

KE = kinetic energy in joules (J)

m = mass in kg

v = velocity in m/s

Answer:

KE=1/2mv^2

Explanation:

I hope this helps it's just the formula.

KE=1/2×mass×velocity^2

Describe the components of the universe.
3-4 sentences

Answers

Answer:

The Universe is thought to consist of three types of substance: normal matter, 'dark matter' and 'dark energy'. Normal matter consists of the atoms that make up stars, planets, human beings and every other visible object in the Universe.

Explanation:

Answer:

Hey mate....

Explanation:

This is ur answer.....

According the NASA's StarChild Website, "The universe is a vast open space which contains all of the matter and energy in existence. The universe contains all of the galaxies, nebulae, stars, and planets. The exact size of the universe is unknown. Scientists believe the universe is still expanding outward.

The Universe is thought to consist of three types of substance: normal matter, 'dark matter' and 'dark energy'. Normal matter consists of the atoms that make up stars, planets, human beings and every other visible object in the Universe.

Hope it helps u,

Mark me brainliest plss......

FOLLOW ME! :)

Define A Gamma Ray .....---_---__☘️​

Answers

Answer:

gamma ray, or gamma radiation (symbol γ or {\displaystyle \gamma } \gamma ), is a penetrating form of electromagnetic radiation arising from the radioactive decay of atomic nuclei. It consists of the shortest wavelength electromagnetic waves and so imparts the highest photon energy. Paul Villard, a French chemist and physicist, discovered gamma radiation in 1900 while studying radiation emitted by radium. In 1903, Ernest Rutherford named this radiation gamma rays based on their relatively strong penetration of matter; in 1900 he had already named two less penetrating types of decay radiation (discovered by Henri Becquerel) alpha rays and beta rays in ascending order of penetrating power.

A sports car starts at rest at the starting marker then picks up speed, then passes the finish marker in 4.1 seconds. The markers are separated by 120 meters. What is the car's speed at the second marker?

Answers

Answer:

S=29.298m/s

Explanation:

Use S=d/t

So, S=120m/4.1s= 29.298m/s

Select the correct answer. East Asia is home to approximately what percentage of the world's population? OA. 15% OB. 50% OC. 25% OD. 30%​

Answers

Answer:

C. 25%

Explanation:

You posted in the wrong section, but 25% is closest to the UN's 22% estimate.

When do scholars think kites were invented?
A. 2000 AD
B. 1000 BC
C. 12,000 BC
D. Never, there's no such thing as a kite

Answers

Answer:

kites where invented 2000 AD

so its A. 2000 AD

srry if it's wrong

Answer:

I guess no. A

Explanation:

approximately 2,800 years ago.

Why does Jupiter have greater mass then other planets?

Answers

Jupiter is 2.5 times more massive than all of the other planets in our Solar System combined. Jupiter is actually so massive that if it gained much more mass it would shrink. Jupiter's intense gravity would pull additional rock tightly together shrinking the diameter of the planet and increasing its density.
Jupiter's mass is 2.5 times that of all the other planets in the Solar System combined—this is so massive that its barycenter with the Sun lies beyond the Sun's surface at 1.068 solar radii from the Sun's center. ... Jupiter would need to be about 75 times as massive to fuse hydrogen and become a star.

which hand is negatively charged?

Answers

The second is negatively charged since there are more electrons than protons.
The second hand is negatively charged

explain electrostatic force

Answers

Answer:

Electrostatics is a branch of physics that studies electric charges at rest. Since classical physics, it has been known that some materials, such as amber, attract lightweight particles after rubbing. The Greek word for amber, or electron, was thus the source of the word 'electricity'.

How many antinodes are present in harmonic 3

Answers

Answer:

a total of four nodes and three antinodes

Explanation:

please tell me if im incorrect i will fix it asap.

Identify the TRUE statements about energy.

A; Energy can transform from electrical energy to heat.

B; Energy can be created and destroyed.

C; Higher potential energy can change into higher kinetic energy.

D; Energy changes are 100% efficient.

Answers

Answer:

A, C, D

Explanation:

A, C and D are true.

B is false as energy can neither be created nor destroyed.

How do you increase the potential energy between two south magnetic
poles?

Answers

Answer:

A south pole of one magnet can approach the north pole of another. The magnetic fields are aligned. This makes an attractive force between the two magnets. The farther apart they are, the higher their potential energy.

Mario and Patience are making cookies. They are ready to drop balls of dough on baking sheets. They have baking sheets made of treated glass, aluminum, stainless steel, and copper. The specific heats of these substances are:

Treated glass = 0.75 J/g • °C

Aluminum = 0.90 J/g • °C

Stainless steel = 0.50 J/g • °C

Copper = 0.39 J/g • °C

Based on the specific heat values, which sheet is going to warm up the quickest, and, therefore, bake the cookies the fastest?
(y'all don't have to answerRrrrr I'm just bORed)

Answers

Answer:

this seems really complicated

Explanation:

Answer:

Copper

Explanation:

How do you think heat gets from a filament to the kernel?​

Answers

Answer:

Explanation:

It goes thru the fluma

Pa help po science po yan pang grade 7

Answers

Answer:

table 1:

1. 100/15 = 6.7 m/s

2. 100/12 = 8.3 m/s

3. 100/9 = 11.1 m/s

table 2:

1. 100/8 = 12.5 m/s

2. 100/6 = 16.7 m/s

3. 100/4 = 25 m/s

Explanation:

HELP ME RIGHT NOW IM BEGGING

Answers

Answer:

its either a or c im not completely sure :(

Explanation:

Answer:

i think a

Explanation:

Fill in the blank to complete the statement.

Electric potential difference is also known as _________.

Answers

Answer: Voltage

Explanation: EDGE 2020

Answer: Voltage

Explanation:

Look at the circuit diagram. Which of these components is part of the circuit?
A. voltmeter

B. switch

C. AC power source

D. capacitor

Answers

Answer:   B.

switch

Explanation: edmentum

1. What is the speed of an object and the direction it is moving?

Answers

Answer:

Velocity

Explanation:

definition of gametes?​

Answers

Gametes are an organism's reproductive cells. They are also referred to as sex cells

Define homogeneous mixtures and give 3 examples.

ASAP please 25 points?

Answers

Answer:

Homogeneous mixtures may be solids, liquids, or gases. Examples include steel, wine, and air. A homogeneous mixture is a solid, liquid, or gaseous mixture that has a uniform composition. No matter where you sample the mixture, the amount and type of components is the same.

Explanation:

Help of sciencenotes .org

Answer:

A homogeneous mixture has components evenly distributed throughout and a uniform appearance.

Salt Water

Blood

Air

Explanation:

PLZ HURRY NEED HELP ASAP!!!!!!!!!!!!!!
Three components in a parallel circuit have individual resistances of r1, r2, and r3. What formula can you use to determine the total resistance of the circuit?

A. R=r1+r2+r3

B. R=1r1+1r2+1r3

C. 1R=r1+r2+r3

D. 1R=1r1+1r2+1r3

Answers

Answer:

D. 1R=1r1+1r2+1r3

Explanation:

If three components are arranged to form a parallel circuit, and the individual resistance of these components are r1, r2, and r3 respectively, the formula for finding the total resistance R is: 1R=1r1+1r2+1r3.

You want to create a space station that is 50 meters in radius. If you want it to simulate Earth's gravitation, how fast must it go?

Answers

Answer:

w = 0.196 rad / s

Explanation:

To generate an acceleration similar to that of the earth, the station's centripetal acceleration must be equal to the acceleration due to gravity.

               a_c = v² / r = w² r

               a_c = g

we substitute

               g = w² r

               w² = g / r

               w = [tex]\sqrt { \frac{g}{r} }[/tex]

       

let's calculate

               w = √9.8/50

               w = 0.196 rad / s

therefore the station must rotate at that angular velocity so that the acceleration in the outer wall is equal to the ratio of gravity

A man stands in front of a vertical plane mirror which is fixed on a
wall as shown in the diagram below. The image formed by the
mirror is also shown.
The man looks at the image of his feet.
a. Complete the ray diagram to show how the man is able to see the
image of his feet in the mirror.
b. What is the purpose of the normal line in the diagram?
c. State which angle does x represent.
d. What's the type and direction of the image formed by the mirror?

Answers

Answer:

a) ray horizontal and ray leaves his feet

b) The normal line respect to which the angles are measured,

c) The angle x is the reflected angle

d) virtual image,  right image

Explanation:

a) To complete the rays, you must draw a horizontal ray at the height of the man's head, this ray touches the mirror perpendicularly, therefore it bounces in the same direction.

The other ray leaves his feet and touches the mirror at one point, it is reflected with the same angle, by the law of reflection and reaches the eyes of man, the brain creates an extension of this ray and at the point of the floor creates the image point.

b) The normal line is a line perpendicular to the surface with respect to which the angles are measured,

c) The angle x is the reflected angle, which is equal to the incident angle according to the law of reflection

d) The image is formed by the prolongation of the rays of light, therefore it is a virtual image and as it has the same direction of the man it is a right image

HELP ASAP!
1. Why do you think it is important for people to know when the tides will be high and/or low?

Answers

Many reasons. Here are a couple:

1.) Water depth for the draft of incoming ships/vessels so they do not run aground.

2.) Distance between sea level and bottom of structures such as bridges for vessels passing underneath.

Two high tides and two low tides occur during every 24-hour period. The predictability of the tides, fast movement of water during the inflow and outflow can provide a source of renewable energy to communities living along the coast.
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