Which shows the following expression after the negative exponents have been eliminated?StartFraction a cubed b Superscript negative 2 Baseline Over

4 answers
Question:

Which shows the following expression after the negative exponents have been eliminated? StartFraction a cubed b Superscript negative 2 Baseline Over a b Superscript negative 4 Baseline EndFraction, a not-equals 0, b not-equals 0

Answers

[tex]a^2b^2[/tex]

Step-by-step explanation:

Given the algebraic expression:

[tex]\dfrac{a^3b^{-2}}{ab^{-4}} , a\neq 0, b\neq 0[/tex]

We are required to eliminate the negative exponents and find the resulting expression.

Using the Negative Exponent Law of Indices: [tex]x^{-y}=\dfrac{1}{x^y}[/tex]

Using the Division Law of Indices: [tex]\dfrac{t^x}{t^y}=t^{x-y}[/tex]

Therefore:

[tex]\dfrac{a^3b^{-2}}{ab^{-4}} = a^{3-1}\cdot b^{-2-(-4)}\\$Simplifying\\a^{3-1}\cdot b^{-2-(-4)}=a^2b^{-2+4}\\=a^2b^2\\Therefore:\\\dfrac{a^3b^{-2}}{ab^{-4}}=a^2b^2[/tex]

Answer is D: a^3b^4/ab^2

Step-by-step explanation:

I took the test on Edge 2020 and this was the correct answer...

D

Step-by-step explanation:

did the quiz

The answer is C I think iam not sure about it

Similar Solved Works

4 answers

En las guerrillas participaron campesinos, estudiantes y profesionales. ¿Qué razones movilizaron a tan diferentes sectores de la

En las guerrillas participaron campesinos, estudiantes y profesionales. ¿Qué razones movilizaron a tan diferentes sectores de la sociedad para que hicieran parte de estos grupos?...
2 answers

An astronaut working with many tools some distance away from a spacecraft is stranded when the 'maneuvering unit' malfunctions.

An astronaut working with many tools some distance away from a spacecraft is stranded when the "maneuvering unit" malfunctions. How can the astronaut return to the spacecraft by sacrificing some of the tools? (Note: the maneuvering unit is connected to the astronaut's spacesuit and is not removable)...
4 answers

What was Cortez's plan to conquer the Aztecs?

What was Cortez's plan to conquer the Aztecs?...
9 answers

Easy algebra question below first correct answer gets brainliest, if you put a link i will report and block

easy algebra question below first correct answer gets brainliest, if you put a link i will report and block [tex]easy algebra question below first correct answer gets brainliest, if you put a link i will report a[/tex]...
7 answers

A new crew of painters takes two times as long to paint a small apartment as an experienced crew. Together, both crews can paint the

A new crew of painters takes two times as long to paint a small apartment as an experienced crew. Together, both crews can paint the apartment in 4 hours. How many hours does it take the new crew to paint the apartment?...
4 answers

A electron of kinetic energy 1.29 keV circles in a plane perpendicular to a uniform magnetic field. The orbit radius (r)

A electron of kinetic energy 1.29 keV circles in a plane perpendicular to a uniform magnetic field. The orbit radius (r) is 22.6 cm. (a) Find the electron's speed (b) Find the magnetic field magnitude (c) Find the circling frequency (d) Find the period of the motion....
4 answers

Which list is in order from least to greatest?2 and StartFraction 1 Over 10 EndFraction, 1 and StartFraction 3 Over 8 EndFraction,

Which list is in order from least to greatest? 2 and StartFraction 1 Over 10 EndFraction, 1 and StartFraction 3 Over 8 EndFraction, 1 and two-fifths, StartFraction 7 Over 9 EndFraction StartFraction 7 Over 9 EndFraction, 1 and StartFraction 3 Over 8 EndFraction, 1 and two-fifths, 2 and StartFractio...
4 answers

Arectangular painting has an area of (2x^2+ 8x+ 6) cm^2. its length is (2x + 2) cm. find

Arectangular painting has an area of (2x^2+ 8x+ 6) cm^2. its length is (2x + 2) cm. find the width of the painting....
4 answers

Which conclusion can be drawn from the information in the line graph sorry for the bad pic btw

Which conclusion can be drawn from the information in the line graph sorry for the bad pic btw [tex]Which conclusion can be drawn from the information in the line graph sorry for the bad pic btw[/tex]...
3 answers

The value of the digit 8 in 1857 is how many times the value of the digit 8 in 3083?

The value of the digit 8 in 1857 is how many times the value of the digit 8 in 3083?...
3 answers

Which act taxed legal documents?Stamp ActSugar ActHat ActQuartering ActI will give you the brainiest

Which act taxed legal documents? Stamp Act Sugar Act Hat Act Quartering Act I will give you the brainiest...
7 answers

Could someone please explain how to solve this equation step by step? -9/2 + 2x+9/2x =-5

Could someone please explain how to solve this equation step by step? -9/2 + 2x+9/2x =-5...
4 answers

What must a researcher do to fulfill the ethical principle of informed consent

What must a researcher do to fulfill the ethical principle of informed consent...
5 answers

In 1938, germany took control of austria in what was known as the: - lebensraum. - rhineland. - sudetenland.

In 1938, germany took control of austria in what was known as the: - lebensraum. - rhineland. - sudetenland. - anschluss....
3 answers

An arrow is fired from the top of a cliff of height 22 m. The arrow has an initial velocity of 32 m/s [30° above the horizontal].a)

An arrow is fired from the top of a cliff of height 22 m. The arrow has an initial velocity of 32 m/s [30° above the horizontal]. a) Calculate the horizontal and vertical components of the rock’s initial velocity. b) Calculate the time it takes for the arrow to fall to the ground. c) What is th...
4 answers

Refer to the Newsela article, 'Doctoral Student Played a Big Part in First Black Hole Photo.' Based

Refer to the Newsela article, "Doctoral Student Played a Big Part in First Black Hole Photo." Based on the text, what is a set of instructions used by a computer to perform a function or solve a problem? An algorithm gravity a black hole a galaxy...
3 answers

Astudent in gym class wants to measure how much his heart rate increases after sprinting 25 feet. the student records his resting

Astudent in gym class wants to measure how much his heart rate increases after sprinting 25 feet. the student records his resting heart rate at 12 beats per 10 seconds. after the student sprinted 25 feet, he recorded his heart beat at 130 beats per minute. calculate the difference in the student’s...
4 answers

I hate brainley yall just want money if yall really concerned abt helping ppl why pay or have limited answers

I hate brainley yall just want money if yall really concerned abt helping ppl why pay or have limited answers...
4 answers

What are examples in the real world when you need to use the properties or rectangles?

What are examples in the real world when you need to use the properties or rectangles?...
10 answers

Hey me and one of my friends have a pad let for a haikyuu rp, if u want to join gimme ur username and if u dont wanna join then

hey me and one of my friends have a pad let for a haikyuu rp, if u want to join gimme ur username and if u dont wanna join then dont answer...

-- 0.022574--