1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vikentia [17]
3 years ago
15

The question is down below. pleaseee

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

Answer:

Proved below

Step-by-step explanation:

We want to prove that;

√(2yx^(-1)) × √(4xz^(-1)) × √(8zy^(-1)) = 8

Now, the √ symbol is also written by denoting the numbers attached to it as resisted to the power of ½. Thus, we have;

[(2yx^(-1))^(½)] × [(4xz^(-1))^(½)] × [(8zy^(-1))^(½)]

Simplifying this gives;

2^(½) × y^(½) × x^(-½) × 4^(½) × x^(½) × z^(-½) × 8^(½) × z^(½) × y^(-½)

Simplifying further, let's write 8 and 4 in terms of 2. Thus;

2^(½) × y^(½) × x^(-½) × (2²)^(½) × x^(½) × z^(-½) × (2³)^(½) × z^(½) × y^(-½)

This gives;

2^(½) × y^(½) × x^(-½) × (2¹) × x^(½) × z^(-½) × (2^(3/2)) × z^(½) × y^(-½)

Collecting like terms and applying laws of indices gives;

2^(½ + 1 + (3/2)) × y^(½ - ½) × x^(-½ + ½) × z^(-½ + ½)

This gives;

8y^(0) × x^(0) × y^(0)

Any Number raised to the power of zero equals 1. Thus;

8y^(0) × x^(0) × y^(0) = 8

You might be interested in
Will make brainiest and you only have to answer at least one question.
MariettaO [177]

Answer:

see below

Step-by-step explanation:

342 m/s    *  1.09361329834  yd /m  *  1 mile / 1760 yards = .21251 mi/s

1500 mi / hr  *   1609.344 meters / mile   * 1 km / 1000 m = 2414 km/hr

8 0
2 years ago
A car travels 100 meters in 5 seconds. what is the speed of the car
professor190 [17]
20m/s
Speed=distance/time
Speed = 100/5 = 20

Answer = 20m/s
3 0
3 years ago
Read 2 more answers
Is 3x^2+y^2=5 a quardatic function
maw [93]

Answer:

no lol

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
When constructing a polygon how can you be sure
ikadub [295]
Make sure it has eight sides
6 0
3 years ago
Read 2 more answers
A six-sided number cube is rolled twice. Which expression can be used to find P(5, then3)?.
Gwar [14]

Answer:

1/6 x 1/6

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Which is independent and which is dependent.
    14·1 answer
  • The price of a large can of fancy popcorn is $8.17. Between which two prices is the price of the popcorn?
    7·2 answers
  • Lauren has a mask collection of 160 masks. She keeps 88 of the masks on her
    10·1 answer
  • Michelle kicks a soccer ball up into the air from the ground. The graph represents the height of the ball, in feet, as a functio
    12·2 answers
  • Please answer correctly.
    6·2 answers
  • What are the solutions to the equation x2 - 8x = 10
    5·1 answer
  • Shiloh and her friends spent the day at an amusement park. In the first hour, they rode two rides. After 2 hours, they had ridde
    8·1 answer
  • Molly has 190 dollars in her bank account and spend 10 dollars every trip write an equation for molly
    5·1 answer
  • Match the vocabulary words with the right definitions. 1. a relation where for any given input value there is only one output va
    8·1 answer
  • Can someone do this for me please?! Just the answer pls
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!