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]
4 years ago
9

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

Mathematics
1 answer:
andreev551 [17]4 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
The ratio of pages read to minutes for Hang is 5:8. Select all the people who have a greater ratio of pages read to minutes than
bixtya [17]
5:8 is the ratio, pages:minutes. 5 is the amount of pages read, 8 is the minutes it took. 8 divided by 5 = 1.6 which would be the average time it took for him to read one page. A greater ratio would be anything higher than an average of 1.6 minutes per page.
3 0
2 years ago
Read 2 more answers
If mike Kevin and Dustin all collect baseball cards and Dustin and Kevin has 81 altogether and Dustin and Mike have 96 altogethe
jek_recluse [69]

Answer:

Dustin has 42 cards.

Mike has 54 cards.

Kevin has 39 cards

Step-by-step explanation:

subtract (Dustin + Mike) – (Dustin + Kevin) or 96 – 81.

Think of it like....

Dustin + Mike – Dustin – Kevin

Dustin – Dustin + Mike – Kevin

Mike – Kevin

Since 96 – 81 = 15, Mike – Kevin = 15

Add (Kevin + Mike) + (Mike – Kevin) or 93 + 15.

Think of it like...

Kevin + Mike + Mike – Kevin

Kevin – Kevin + Mike + Mike

Mike + Mike

Since 93 + 15 = 108, Mike + Mike = 108. If you divide, Mike had 54 cards. That means that you can find Kevin’s cards by using 93 – 54 or 39. You can then find Dustin’s cards by using 81 – 39 = 42.

Check:

Dustin’s cards + Kevin’s cards = 42 + 39 = 81

Dustin’s cards + Mike’s cards = 42 + 54 = 96

Mike’s cards + Kevin’s cards = 54 + 39 = 93

5 0
3 years ago
I got so much cash nothing to do with it
lozanna [386]

Answer:

buy something you'll use so often

Step-by-step explanation:

or save it for a trip to go to

6 0
3 years ago
Really need help pls I will mark you as brainlist ✨✨
Bumek [7]
I believe it is A correct me if I’m wrong
6 0
3 years ago
GEOMETRY - FIND X ON THIS TRIANGLE
m_a_m_a [10]

Answer: \frac{7\sqrt{3}}{2}

Step-by-step explanation:

\sin 60^{\circ}=\frac{x}{7}\\\\\frac{\sqrt{3}}{2}=\frac{x}{7}\\\\x=\frac{7\sqrt{3}}{2}

8 0
2 years ago
Other questions:
  • Pls someone help, ill give ya brainliest :D
    13·1 answer
  • The rectangle is 22cm along the base
    6·1 answer
  • How do you convert fractions to other fractions? Like how would you convert 7/8 to 3/4??
    10·2 answers
  • One meter equals 100 centimeters five meters equals how many centimeteres
    9·1 answer
  • The GCF of 24 and 32 is
    8·2 answers
  • The solution to x - 299= -70 is - 469 .
    15·1 answer
  • A set consists of n consecutive integers in which the smallest term is 1. What is the value of n? (1) When one of the numbers is
    11·1 answer
  • Write the equation of the line that passes through the points (-7, -9) and (7, 2).
    10·1 answer
  • One population of rabbits is increasing according to the function y = 2^x
    12·1 answer
  • The Hu family goes out for lunch, and the price of the meal is $51. The sales tax on the meal Is 7%, and the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!