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
gtnhenbr [62]
3 years ago
9

Prove that (81/16)^-3/4 ×[(25/9)^-3/2 ÷ (5/2)^-3]=1​

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer:

First write them in positive exponent form

(16/81)¾ × [ (9/25)^3/2 ÷ (2/5)³ ]

(2⁴×¾)/ (3⁴×¾) × [ (3² × ^3/2) / (5² ×^3/2) ÷ 2³/5³)

Simplify the terms

2³/3³ × ( 3³ / 5³ ÷ 2³/5³)

Solve the terms in the bracket

2³/3³ × (3³/5³×5³/2³)

You will get

2³/3³ × 3³/2³ = 1

They will cancel each other so the answer will be 1

Hope this helps.

You might be interested in
Please help ASAP I CAN FIGURE IT OUT
OleMash [197]

The last option is the answer

X =3

8 0
2 years ago
Given the speeds of each runner below, determine who runs the fastest.
lbvjy [14]

Answer:

Brooke runs the fastest.

3 0
2 years ago
Read 2 more answers
Willy Wonka has 2 candies, Wonka bars and Everlasting Gobstoppers. Both have both natural sugar and sucrose in them. Each Wonka
love history [14]

Answer:

Wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

let the wonka bars be X

and everlasting gobstoppers be Y

the objective is to

maximize 1.3x+3.2y=P

subject to constraints

natural sugar

4x+2y=60------1

sucrose

x+3y=75---------2

x>0, y>0

solving 1 and 2 simultaneously we have

4x+2y=60----1

x+3y=75------2

multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have

 4x+2y=60

 4x+12y=300

-0-10y=-240

10y=240

y=240/10

y=24

put y=24 in equation 2 we have'

x+3y=75

x+3(24)=75

x+72=75

x=75-72

x=3

put x=3 and y=24 in the objective function we have

maximize 1.3x+3.2y=P

1.3(3)+3.2(24)=P

3.9+76.8=P

80.7=P

P=$80.9

8 0
3 years ago
.002 centimeters=_____ mm <br> Help?
Rina8888 [55]

Answer:

0.02

Step-by-step explanation:

divide it by 10.

4 0
2 years ago
Read 2 more answers
determine if the ordered pair is a solution of the equation is (2,4) a solution of y = 10 -3×? true or false​
anzhelika [568]

Answer:

False

Step-by-step explanation:

4 = 10 - 3²

4 = 10 - 9

4 = 1

7 0
3 years ago
Other questions:
  • Which type of triangle has side measures of 6 cm, 7 cm, and 12 cm and one angle with a measure of 120°?
    11·2 answers
  • Which interval contains a local minimum for the grafted function? [-4, -2.5] [-2, -1] [1, 2] [2.5, 4]
    9·1 answer
  • What is 0.45 as a fraction how do I show my work
    6·2 answers
  • A stratified sample in which the number of sampling units drawn from each stratum is in proportion to the population size of the
    13·1 answer
  • A balloon rises vertically at the rate
    12·1 answer
  • 20 ft<br> 12 ft<br> 7 ft<br> 8 ft<br> 8 1t<br> 34 ft<br> What is the area?
    6·1 answer
  • Help plsss this is for a test pls
    13·1 answer
  • 10) Alex bought 2 apples and 4 pears that cost $3 each. Next, he bought a loaf of bread for $6. Write an expression that describ
    11·2 answers
  • Complete the table so there is a proportional relationship between cups of blue paint and cups of red paint.
    5·2 answers
  • Can someone please help me on this
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!